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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic curve; linear system; nonspecial line bundle; secant plane; syzygy; Green-Lazarfeld conjecture
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements polarized normal varieties; ample Cartier divisor; Riemann-Roch; linear system Matsusaka, T., On polarized normal varieties, I., Nagoya Math. J., 104, 175-211, (1986)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cremona group; Cremona transformation; positive characteristic; elements of finite order I. V. Dolgachev, V. A. Iskovskikh, \textit{On elements of prime order in the plane Cremona group over a perfect field}, Int. Math. Res. Not. IMRN \textbf{18} (2009), 3467-3485.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements real quadratic factors of polynomials; multiple quadratic factors
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements zero-dimensional schemes; Hilbert difference functions; quadric; linear systems of surfaces Raciti, G.: Hilbert function and geometric properties for a closed O-dimensional subscheme of a quadric Q \subsetp3. Comm. algebra 18, No. 9, 3041-3053 (1990)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic form; function field of a quadric; unramified Witt group; Galois cohomology; stable birational equivalence B. Kahn and A. Laghribi, A second descent problem for quadratic forms, K-Theory 29 (2003), 253--284.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Putinar's Positivstellensatz; sums of squares; quadratic module; degree bounds
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; characteristic p; infinitely very near point Tadao Oda, Infinitely very near singular points, Complex analytic singularities, Adv. Stud. Pure Math., vol. 8, North-Holland, Amsterdam, 1987, pp. 363 -- 404.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements subvarieties of linear tori; heights Habegger, P., Intersecting subvarieties of \({\mathbf G}^n_m\) with algebraic subgroups, Math. Ann., 0025-5831, 342, 2, 449-466, (2008)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rational quadratic polynomial; polynomial iteration; discrete dynamical system; periodic points
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements tight closure; global generation of adjoint linear series Karen E. Smith, An introduction to tight closure, Geometric and combinatorial aspects of commutative algebra (Messina, 1999) Lecture Notes in Pure and Appl. Math., vol. 217, Dekker, New York, 2001, pp. 353 -- 377.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements symbolic power; test ideal; graded system of ideals; tight closure; multiplier ideals Takagi, S; Yoshida, K, Generalized test ideals and symbolic powers, Michigan Math. J., 57, 711-724, (2008)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements trace formulas; Lax pairs; constants of motion
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements stringy Hodge numbers; E-polynomial; mixed Hodge structure; resolution of singularities
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements representation of the symmetric group; Pieri rule; Gromov-Witten invariants; Schubert polynomials; cohomology ring of the flag manifold; divided difference operators; quadratic associative algebra; Dunkl operators; Schubert calculus; quantum cohomology Fomin, Sergey; Kirillov, Anatol N., Quadratic algebras, Dunkl elements, and Schubert calculus. Advances in geometry, Progr. Math. 172, 147-182, (1999), Birkhäuser Boston, Boston, MA
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear algebraic groups; Cayley groups; stably Cayley groups; character lattices; quasi-permutation lattices; Weil restriction of scalars Borovoi, M.; Kunyavskiĭ, B.: Stably Cayley semisimple groups, Doc. math. Extra volume: Alexander S. Merkurjev's sixtieth birthday (2015)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements music theory; performance theory; linear representations of quivers; multilinear control systems
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements multilinear operators; oscillatory integrals; resolution of singularities; Newton polyhedra Xiao, L., Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities, Rev. mat. iberoam., 33, 1, 67-116, (2017)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system; degeneration Ciro Ciliberto and Rick Miranda, Matching conditions for degenerating plane curves and applications, Projective varieties with unexpected properties, Walter de Gruyter, Berlin, 2005, pp. 177 -- 197.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Frobenius (theorem); (foliated) (log) canonical singularities; algorithmic resolution; graphic neighbourhood; ample (vector) bundle; Frobenius (map); bend and break; P-adic; rationally connected; cone of curves F. Bogomolov and M. McQuillan, Rational curves on foliated varieties, preprint (2001), .
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements computer algebra; algebraic curve parametrization; factorization; solution of polynomial equations; constructive algebraic geometry; gcd computation; decomposition; linear systems; Hankel systems; Gröbner bases; polynomial algorithms; elementary theory of real closed fields; Gosper's algorithm; summation problems; algebraic curve; complexity Winkler, F., \textit{Polynomial Algorithms in Computer Algebra}, (1996), Springer, Vienna, Austria
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements isolated hypersurface singularity; resolution of a singularity; multiplicity of a singularity; maximal divisor; canonical divisor -, The multiplicity of isolated two-dimensional hypersurface singularities , Trans. Amer. Math. Soc. 302 (1987), 489-496.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements multilinear functions; symmetric product of multilinear functions; linear factor; inner product space; projective algebraic variety
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Jacobians; linear systems on curves; rank of the Néron-Severi group
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; alterations; tame distillation; valued fields; valuations Temkin, M., Tame distillation and desingularization by \textit{p}-alterations, Ann. of Math. (2), 186, 1, 97-126, (2017)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements configuration of branches of an algebraic curve; Harnack theorem; number of limit cycles for a polynomial planar system; Hilbert's 16th problem
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements third order curves; plane curves; homogeneous functions; projectivity; involution; projective properties of conics; pencil of conics; polar properties; Steiner system; Hesse' curve; pencil of third order curves; Cayley' curve; cubic involution; Steiner's polygon; elliptic functions
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements singularities; idealistic exponents; characteristic polyhedra; Newton polyhedra; resolution of singularities
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements coherent system; moduli space; Hitchin map; first fundamental theorem of invariant theory
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements complex reductive algebraic group; ring of polynomial functions; ring of \(G\)-invariant elements; fibers; connected semisimple group; algebra of invariants; equidimensional representations of tori; weights Wehlau, D.: A proof of the Popov conjecture for tori. Proc. Am. Math. Soc. \textbf{114}(3), 839-845 (1992)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements monomial valuations; resolution of singularities; continued fractions
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear equivalence of topologies; hypersurface; Noetherian ring; ideal topology Swanson, I., Linear equivalence of ideal topologies, Math. Z., 234, 755-775, (2000)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements minimal free resolution; linear section Park, On syzygies of linear sections, Proc. Amer. Math. Soc.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of set of points; prescribed deviation
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements integration over algebraic variety; Euler characteristic; multiplicity of a point; Plücker formula O. Ya. Viro, ''Some Integral Calculus Based on Euler Characteristic,'' in Topology and Geometry: Rohlin Seminar (Springer, Berlin, 1988), Lect. Notes Math. 1346, pp. 127--138.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements blow up; projective space; Grassmannian; linear system; exceptional divisors Flavio Angelini, Ample divisors on the blow up of \(\mathbf P^ 3\) at points , Manuscripta Math. 93 (1997), no. 1, 39-48.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements omega-system of cubic forms; point correspondences Yu. V. Pavlyuchenko and V. V. Ryzhkov, ''On the theory of deformation of point correspondences. {\(\omega\)}-Systems in the four-dimensional case,''Diff. Geom. Obobshch. Prostr., Pril.: Mezhvuz. Nauchn. Sb., 50--60 (1988).
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Grassmann varieties; quadratic Plücker relations
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements problems of effectivity; Linnik theorem; Mordell conjecture; density theorem for representations of relative Weil groups; Hecke density theorem; Shafarevich-Tate conjectures; generation of Galois groups by Frobenius elements; distribution of Frobenius conjugacy classes; uniform distribution of Grössencharakters; Chebotarev density theorem; automorphic representations of GL(n); strong multiplicity one theorem; compatible systems of \(\ell\)-adic representations; ramification
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(\Sigma^ 3\) map germ; 2-jet; net of quadratic maps from \({\mathbb{R}}^ 3\) to \({\mathbb{R}}^ 3\); versal deformations; topologically inequivalent Edwards, S. A.; Wall, C. T. C., Nets of quadrics and deformations of \(\Sigma^{3\langle3\rangle}\) singularities, Math. Proc. Cambridge Philos. Soc., 105, 1, 109-115, (1989)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements power series ring; characteristic pairs; singularity; JFM 50.0432.03; Puiseux series; multiplicity sequence of a resolution
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic algebra; elliptic function; Dunkl elements; Fomin-Kirillov quadratic algebra; Nichols-Woronowicz algebra Kirillov, Anatol N. and Maeno, Toshiaki, Braided differential structure on {W}eyl groups, quadratic algebras, and elliptic functions, International Mathematics Research Notices. IMRN, 2008, 14, no.~14, rnn046, 23~pages, (2008)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements hyperelliptic curves; finite Galois extension of degree n; Galois group; set of K-linear maps
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements numbers of orbits; prehomogeneous vector spaces; rational representations; connected linear algebraic groups; Zariski-dense orbits; irreducible components T. Kamiyoshi, A characterization of finite prehomogeneous vector spaces of \( D_{4}\)-type under various scalar restrictions, submitted to Tsukuba J. of Math.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements elliptic cohomology; topological modular forms; resolution of the sphere spectrum; chromatic filtration M. Behrens, A modular description of the \(K(2)\)-local sphere at the prime 3, Topology 45 (2006), no. 2, 343--402.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements toroidalization; resolution of morphisms; principalization
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements motivic cohomology; quadratic forms; slices of Hermitian \(K\)-theory and Witt theory
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements affine group over the integers; Klein program; complete orbit invariant; Turing-computable invariant; \(\mathsf{GL}(n,\mathbb{Z})\)-orbit; (Farey)regular simplex; regular complex; desingularization; strong Oda conjecture; Hirzebruch-Jung continued fraction algorithm; rational polyhedron; conic; conjugate diameters; Apollonius of Perga; Pappus of Alexandria; quadratic form; Clifford-Hasse-Witt invariant; Hasse-Minkowski theorem; Markov unrecognizability theorem
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Green-Lazarsfeld conjecture; minimal free resolution; vanishing ideal generated by quadrics; matroid theory; finite set of points; JFM 25.1035.02
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements instability; nonlinear Schrödinger system; trigonal spectral curve; trigonal curves of genus one Wright, O. C.: Modulational instability in a defocusing coupled nonlinear Schrödinger system. Physica D 82, 1-10 (1995)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements number of generators; méthode d'Horace; maximal rank minimally generated curve; elementary transformations Idà, M.: Generators for the generic rational space curve: low degree cases. Lecture notes in pure and applied math. 206 (1999)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Mordell-Weil groups; generic fibre; system of polarized abelian varieties; level structure; endomorphism structure; CM-field , Moredell-Weil groups of generic abelian varieties in the unitary case, Proc. of the A. M.S., 104 (1988), 723-728.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements ADE-singularities; moduli spaces of curves; simultaneous resolution Casalaina-Martin S. and Laza R., Simultaneous semi-stable reduction for curves with ADE singularities, Trans. Amer. Math. Soc. 365 (2013), no. 5, 2271-2295.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements identity component; maximal torus; dominant weights; linear representation; simply connected semisimple group; stationary subgroup of general position; action; maximal unipotent subgroup; algebra of covariants; restriction Panyushev, D.: Orbits of maximal dimension of solvable subgroups of reductive linear groups and reduction forU-invariants. Math. USSR, Sb.60, 365-375 (1988)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements variety of general type; smooth complex projective variety; large fundamental group; Shafarevich variety; Shafarevich map; resolution of singularities; nonvanishing theorem; plurigenera; 3-folds of general type Kollár, J., Shafarevich maps and plurigenera of algebraic varieties, Invent. Math., 113, 176-215, (1993)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements homogeneous singularity; log-resolution; local system; multiplier ideal; finite abelian cover; Hodge spectrum; spectrum multiplicity; monodromy zeta function
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements minimal free resolution; finite sets of points; Hilbert function; truncation; minimal generator
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Linear pfaffian representation; Moduli space of semistable vector bundles; Plane curves Buckley, A; Košir, T, Plane curves as pfaffians, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 10, 363-388, (2011)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements bound on the degree of the rank 1 locus; map of vector bundles; determinantal loci; Castelnuovo theory; Clifford theory; products of linear series; Clifford index D. Eisenbud, J. Harris: An intersection bound for rank 1 loci, with applications to Castelnuovo and Clifford theory, J. Alg. Geom.1, 31--60 (1992)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear differential system; \({\mathcal D}\)-module; characteristic cycle; \(b\)- function; regular holonomic \({\mathcal D}\)-module; distribution; perverse sheaf; micro-differential system; derived category Björk, Jan-Erik, Analytic \({\mathcal{D}}\)-modules and applications, Mathematics and its Applications 247, xiv+581 pp., (1993), Kluwer Academic Publishers Group, Dordrecht
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; idealistic exponents; positive characteristic; determinantal varieties
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Calabi-Yau manifold; coisotropic submanifold; non-linear sigma-model; characteristic foliation; perturbative geometry on \(A\)-brane; stacks of \(A\)-branes; tachyon profiles of brane-antibrane pairs; tachyon condensation; transversely holomorphic vector bundles Herbst, M., On higher rank coisotropic A-branes, J. Geom. Phys., 62, 156, (2012)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements moment relaxation; Lasserre relaxation; basic closed semialgebraic set; sum of squares; polynomial optimization; semidefinite programming; linear matrix inequality; spectrahedron; semidefinitely representable set
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Gorensteinness of Rees algebras of symbolic powers; regular system of parameters; space monomial curves Goto S., J. Math. Soc. Japan 43 pp 465-- (1991)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements square values of quadratic polynomials; covering collections; elliptic Chabauty method González-Jiménez, E.; Xarles, X., On symmetric square values of quadratic polynomials, Acta Arith., 149, 2, 145-159, (2011)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements cohomologie of the Milnor fiber; isolated singularity of hypersurface; intersection form; monodromy; Gauss-Manin system; families of cycles; asymptotic expansion module; de Rham cohomology D. Barlet : La forme hermitienne canonique sur la cohomologie de la fibre de Milnor d'une hypersurface à singularité isolée , Inv. Math. 81 (1985) pp. 115-153.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements central finite-dimensional simple algebra; elements of reduced norm 1; multiplicative group; index A. S. Merkurjev, Generic element in \?\?\(_{1}\) for simple algebras, \?-Theory 7 (1993), no. 1, 1 -- 3.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system; double cover; gonality Keem, Changho, Double coverings of smooth algebraic curves, (Algebraic Geometry in East Asia, Kyoto, 2001, (2002), World Sci. Publ. River Edge, NJ), 75-111
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements additivity problems; asymptotic linearity theorem (ALT); Fukui conjecture; repeat space theory (RST); resolution of singularities Arimoto S., Spivakovsky M., Taylor K.F., Mezey P.G.: Proof of the Fukui conjecture via resolution of singularities and related methods II. J. Math. Chem. 37, 171--189 (2005)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements upper bounds for number of variables; existence of m-dimensional linear variety; common zero set; Brauer induction; forms in many variables; cubic forms; common p-adic solutions Lewis, DJ; Schulze-Pillot, R, Linear spaces on the intersection of cubic hypersurfaces, Monatsh. Math., 97, 277-285, (1984)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Frobenius-linear endomorphism of De Rham cohomology group; Jacobian of the Fermat curve; crystalline Weil group; Frobenius matrices; Morita gamma function R. Coleman, On the Frobenius matrices of Fermat curves, \textit{p}-adic analysis, Lecture Notes in Math. 1454, Springer, Berlin (1990), 173-193.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system; ample determinant; rank 2 bundles on a minimal ruled surface E. Ballico and A. Lanteri, An indecomposable rank-\(2\) vector bundle the complete linear system of whose determinant consists of hyperelliptic curves , Boll. Un. Mat. Ital. A (7) 3 (1989), no. 2, 225-230.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Artin approximation; system of formal equations; algebroid curve
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rationality problem, linear group quotients, affine extensions of semi-simple groups Bogomolov F., Böhning Chr., Graf von Bothmer H.-Chr., Rationality of quotients by linear actions of affine groups, Sci. China Math. (in press), DOI: 10.1007/s11425-010-4127-z
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cohen-Macaulay ring; characteristic variety; confluent hypergeometric functions; \({\mathcal D}\)-module structure; holonomic system of partial differential equation Adolphson A., Hypergeometric functions and rings generated by monomials, Duke Math. J. 73 (1994), 269-290.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements distribution of ideal class groups of imaginary quadratic fields; distribution of class groups of hyperelliptic function fields; \(\ell\)-adic Tate module; equidistribution conjecture; Cohen-Lenstra principle Friedman, Eduardo; Washington, Lawrence C., On the distribution of divisor class groups of curves over a finite field.Théorie des nombres, Quebec, PQ, 1987, 227\textendash 239 pp., (1989), de Gruyter, Berlin
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements dimension \(d\) invariants; algebraic groups; natural transformations; unramified groups; groups of cohomological invariants; Rost's invariants; central simple algebras Merkurjev A.S.: Invariants of algebraic groups. J. Reine Angew. Math. 508, 127--156 (1999)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements finite subgroups of rotation group; groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory Artin, M.: Algebra. Prentice-Hall, Englewood Cliffs (1991)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements geometric invariant theory; linearization of the group action; flip; blow-up; blow-down; birational transformations between quotients; Luna slice theorem Thaddeus, Michael. \(Geometric invariant theory and flips\). J. Amer. Math. Soc. 9 (1996), no. 3, 691-723.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements singularities; resolution of singularities; algebraic plane curves; knots and links L. Fourrier, \(Topologie d'un polynome de deux variables complexes au voisinage de l'infini\), Annales de l'institut Fourier, 46 (1996), 645-687
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Seshadri constant; fat points; linear systems of plane curves Eckl, T., Ciliberto--miranda degenerations of \(\mathbb{C} \mathbb{P}^2\) blown up in 10 points, J. Pure Appl. Algebra, 215, 672-696, (2011)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements normal surface singularities; hyperplane sections; smoothing of curve singularity; Kulikov singularity; resolution graph; Gorenstein singularity Stevens, J.: Elliptic surface singularities and smoothings of curves. Math. Ann.267, 239-249 (1984)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements complex projective space; complex conjugation on complex projective 2- space; zeros of quadratic forms; hyperbolic polynomials Arnol'd, V. I.: Ramified covering CP2 \(\to S4\), hyperbolicity and projective topology. Siberian math. J. 29, No. 5, 36-47 (1988)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements alteration; resolution of singularities; semi-stable family of curves de Jong, A. J., Smoothness, semi-stability and alterations, Publ. Math. Inst. Hautes Études Sci., 83, 51-93, (1996)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements blowup algebra; resolution of singularity; tame ideal; clutter
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rings of invariants of algebraic groups; minimal system of generators; Chevalley sections; homological dimension of rings of invariants; representation theory; birational invariant theory V. L. Popov: Modern developments in invariant theory. Proc. Inter. Congr. Math. Berkeley Calif., vol. 1, pp. 394-406 (1986).
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements function fields; integral moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; ratios conjecture
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equivariant modification; resolution of singularities; toroidal embedding D. Abramovich and J. Wang, Equivariant resolution of singularities in characteristic \(0\) , Math. Res. Lett. 4 (1997), 427-433.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Tate resolution; hypercohomology of projective space Iustin Coandă, On the Bernstein-Gel\(^{\prime}\)fand-Gel\(^{\prime}\)fand correspondence and a result of Eisenbud, Fløystad, and Schreyer, J. Math. Kyoto Univ. 43 (2003), no. 2, 429 -- 439.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements symplectomorphism groups; symplectic rational surface; symplectic mapping class groups; almost complex structures; technique of ball-swapping; semi-toric model; rational 4-manifolds; Torelli symplectic mapping class group; symplectic cone; Lagrangian root system
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Yang-Baxter maps; Grassmann algebraic varieties; Grassmann extensions of Yang-Baxter maps; Grassmann extensions of Darboux transformations; noncommutative extensions of Yang-Baxter maps Grahovski, G.G.; Konstantinou-Rizos, S.; Mikhailov, A.V., Grassmann extension of Yang-Baxter maps, J. phys. A, math. theor., 49, (2016)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements extension of local holomorphic embeddings of Grassmann manifolds; maximal linear subvarieties of flag manifolds Ng, S-C, Cycle spaces of flag domains on Grassmannians and rigidity of holomorphic mappings, Math. Res. Lett., 19, 1219-1236, (2012)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements jets schemes; toric surfaces; resolution of singularities; Nash problem Mourtada, H., Jet schemes of normal toric surfaces, \textit{Bull. SMF}
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements dimension of adjoint linear series; positivity of ample line bundles; number of sections; line bundle; multiple point Seshadri constant; very general points Küchle, O, Multiple point Seshadri constants and the dimension of adjoint linear series, Ann. Inst. Fourier (Grenoble), 46, 63-71, (1996)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Betti numbers; quadratic inequalities; semi-algebraic sets; cell complex; triangulation; real closed field; infinitesimal elements Basu S., Pasechnik D., Roy M-F.: Computing the Betti numbers and the Euler-Poincare characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials. J. Algebra 321, 2206--2209 (2009)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements classifying singularities; space curve singularities; saturation; value semigroups; semigroups of one dimensional C. M. local rings; canonical resolution Campillo, A.; Delgado, F.; Núñez, C. A.: The arithmetic of arf and saturated semigroups, Appl. rev. Real acad. Cienc. exact. Fís. natur. Madrid 82, No. 1, 161-163 (1988)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements identity component; maximal torus; dominent weights; linear representation; simply connected semisimple group; stationary subgroup of general position; action; maximal unipotent subgroup; algebra of covariants; restriction D. I. Panyushev, Orbits of highest dimension of solvable subgroups of reductive linear groups and reduction for \(U\)-invariants , (Russian) Mat. Sb. (N.S.), 132 (174) (1987), no. 3, 371--382, 445; translation in Math. USSR-Sb., 60 (1988), no. 2, 365--375.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements flag variety; homogeneous ind-variety; generalized flag; linear embedding of flag varieties
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements essential dimension; essential \(p\)-dimension; functor; canonical \(p\)-dimension of a variety; algebraic group (\(G\)); \(G\)-scheme; \(G\)-torsor; strongly \(p\)-incompressible variety; category fibered in groupoids; group of multiplicative type; central simple algebra; étale algebra; quadratic and hermitian forms A.\ S. Merkurjev, Essential dimension: A survey, Transform. Groups 18 (2013), 415-481.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements lattice points; semigroup algebras; homogeneous elements; graded automorphisms; normal forms of elements; automorphism groups; projective toric varieties Bruns W., Gubeladze J.: Polytopal linear groups. J. Algebra 218, 715--737 (1999)
0