\begin{multicols}{2}[\section{Other chapters}] \noindent Preliminaries \begin{enumerate} \item \hyperref[introduction-section-phantom]{Introduction} \item \hyperref[conventions-section-phantom]{Conventions} \item \hyperref[sets-section-phantom]{Set Theory} \item \hyperref[categories-section-phantom]{Categories} \item \hyperref[topology-section-phantom]{Topology} \item \hyperref[sheaves-section-phantom]{Sheaves on Spaces} \item \hyperref[sites-section-phantom]{Sites and Sheaves} \item \hyperref[stacks-section-phantom]{Stacks} \item \hyperref[fields-section-phantom]{Fields} \item \hyperref[algebra-section-phantom]{Commutative Algebra} \item \hyperref[brauer-section-phantom]{Brauer Groups} \item \hyperref[homology-section-phantom]{Homological Algebra} \item \hyperref[derived-section-phantom]{Derived Categories} \item \hyperref[simplicial-section-phantom]{Simplicial Methods} \item \hyperref[more-algebra-section-phantom]{More on Algebra} \item \hyperref[smoothing-section-phantom]{Smoothing Ring Maps} \item \hyperref[modules-section-phantom]{Sheaves of Modules} \item \hyperref[sites-modules-section-phantom]{Modules on Sites} \item \hyperref[injectives-section-phantom]{Injectives} \item \hyperref[cohomology-section-phantom]{Cohomology of Sheaves} \item \hyperref[sites-cohomology-section-phantom]{Cohomology on Sites} \item \hyperref[dga-section-phantom]{Differential Graded Algebra} \item \hyperref[dpa-section-phantom]{Divided Power Algebra} \item \hyperref[sdga-section-phantom]{Differential Graded Sheaves} \item \hyperref[hypercovering-section-phantom]{Hypercoverings} \end{enumerate} Schemes \begin{enumerate} \setcounter{enumi}{25} \item \hyperref[schemes-section-phantom]{Schemes} \item \hyperref[constructions-section-phantom]{Constructions of Schemes} \item \hyperref[properties-section-phantom]{Properties of Schemes} \item \hyperref[morphisms-section-phantom]{Morphisms of Schemes} \item \hyperref[coherent-section-phantom]{Cohomology of Schemes} \item \hyperref[divisors-section-phantom]{Divisors} \item \hyperref[limits-section-phantom]{Limits of Schemes} \item \hyperref[varieties-section-phantom]{Varieties} \item \hyperref[topologies-section-phantom]{Topologies on Schemes} \item \hyperref[descent-section-phantom]{Descent} \item \hyperref[perfect-section-phantom]{Derived Categories of Schemes} \item \hyperref[more-morphisms-section-phantom]{More on Morphisms} \item \hyperref[flat-section-phantom]{More on Flatness} \item \hyperref[groupoids-section-phantom]{Groupoid Schemes} \item \hyperref[more-groupoids-section-phantom]{More on Groupoid Schemes} \item \hyperref[etale-section-phantom]{\'Etale Morphisms of Schemes} \end{enumerate} Topics in Scheme Theory \begin{enumerate} \setcounter{enumi}{41} \item \hyperref[chow-section-phantom]{Chow Homology} \item \hyperref[intersection-section-phantom]{Intersection Theory} \item \hyperref[pic-section-phantom]{Picard Schemes of Curves} \item \hyperref[weil-section-phantom]{Weil Cohomology Theories} \item \hyperref[adequate-section-phantom]{Adequate Modules} \item \hyperref[dualizing-section-phantom]{Dualizing Complexes} \item \hyperref[duality-section-phantom]{Duality for Schemes} \item \hyperref[discriminant-section-phantom]{Discriminants and Differents} \item \hyperref[derham-section-phantom]{de Rham Cohomology} \item \hyperref[local-cohomology-section-phantom]{Local Cohomology} \item \hyperref[algebraization-section-phantom]{Algebraic and Formal Geometry} \item \hyperref[curves-section-phantom]{Algebraic Curves} \item \hyperref[resolve-section-phantom]{Resolution of Surfaces} \item \hyperref[models-section-phantom]{Semistable Reduction} \item \hyperref[functors-section-phantom]{Functors and Morphisms} \item \hyperref[equiv-section-phantom]{Derived Categories of Varieties} \item \hyperref[pione-section-phantom]{Fundamental Groups of Schemes} \item \hyperref[etale-cohomology-section-phantom]{\'Etale Cohomology} \item \hyperref[crystalline-section-phantom]{Crystalline Cohomology} \item \hyperref[proetale-section-phantom]{Pro-\'etale Cohomology} \item \hyperref[more-etale-section-phantom]{More \'Etale Cohomology} \item \hyperref[trace-section-phantom]{The Trace Formula} \end{enumerate} Algebraic Spaces \begin{enumerate} \setcounter{enumi}{63} \item \hyperref[spaces-section-phantom]{Algebraic Spaces} \item \hyperref[spaces-properties-section-phantom]{Properties of Algebraic Spaces} \item \hyperref[spaces-morphisms-section-phantom]{Morphisms of Algebraic Spaces} \item \hyperref[decent-spaces-section-phantom]{Decent Algebraic Spaces} \item \hyperref[spaces-cohomology-section-phantom]{Cohomology of Algebraic Spaces} \item \hyperref[spaces-limits-section-phantom]{Limits of Algebraic Spaces} \item \hyperref[spaces-divisors-section-phantom]{Divisors on Algebraic Spaces} \item \hyperref[spaces-over-fields-section-phantom]{Algebraic Spaces over Fields} \item \hyperref[spaces-topologies-section-phantom]{Topologies on Algebraic Spaces} \item \hyperref[spaces-descent-section-phantom]{Descent and Algebraic Spaces} \item \hyperref[spaces-perfect-section-phantom]{Derived Categories of Spaces} \item \hyperref[spaces-more-morphisms-section-phantom]{More on Morphisms of Spaces} \item \hyperref[spaces-flat-section-phantom]{Flatness on Algebraic Spaces} \item \hyperref[spaces-groupoids-section-phantom]{Groupoids in Algebraic Spaces} \item \hyperref[spaces-more-groupoids-section-phantom]{More on Groupoids in Spaces} \item \hyperref[bootstrap-section-phantom]{Bootstrap} \item \hyperref[spaces-pushouts-section-phantom]{Pushouts of Algebraic Spaces} \end{enumerate} Topics in Geometry \begin{enumerate} \setcounter{enumi}{80} \item \hyperref[spaces-chow-section-phantom]{Chow Groups of Spaces} \item \hyperref[groupoids-quotients-section-phantom]{Quotients of Groupoids} \item \hyperref[spaces-more-cohomology-section-phantom]{More on Cohomology of Spaces} \item \hyperref[spaces-simplicial-section-phantom]{Simplicial Spaces} \item \hyperref[spaces-duality-section-phantom]{Duality for Spaces} \item \hyperref[formal-spaces-section-phantom]{Formal Algebraic Spaces} \item \hyperref[restricted-section-phantom]{Algebraization of Formal Spaces} \item \hyperref[spaces-resolve-section-phantom]{Resolution of Surfaces Revisited} \end{enumerate} Deformation Theory \begin{enumerate} \setcounter{enumi}{88} \item \hyperref[formal-defos-section-phantom]{Formal Deformation Theory} \item \hyperref[defos-section-phantom]{Deformation Theory} \item \hyperref[cotangent-section-phantom]{The Cotangent Complex} \item \hyperref[examples-defos-section-phantom]{Deformation Problems} \end{enumerate} Algebraic Stacks \begin{enumerate} \setcounter{enumi}{92} \item \hyperref[algebraic-section-phantom]{Algebraic Stacks} \item \hyperref[examples-stacks-section-phantom]{Examples of Stacks} \item \hyperref[stacks-sheaves-section-phantom]{Sheaves on Algebraic Stacks} \item \hyperref[criteria-section-phantom]{Criteria for Representability} \item \hyperref[artin-section-phantom]{Artin's Axioms} \item \hyperref[quot-section-phantom]{Quot and Hilbert Spaces} \item \hyperref[stacks-properties-section-phantom]{Properties of Algebraic Stacks} \item \hyperref[stacks-morphisms-section-phantom]{Morphisms of Algebraic Stacks} \item \hyperref[stacks-limits-section-phantom]{Limits of Algebraic Stacks} \item \hyperref[stacks-cohomology-section-phantom]{Cohomology of Algebraic Stacks} \item \hyperref[stacks-perfect-section-phantom]{Derived Categories of Stacks} \item \hyperref[stacks-introduction-section-phantom]{Introducing Algebraic Stacks} \item \hyperref[stacks-more-morphisms-section-phantom]{More on Morphisms of Stacks} \item \hyperref[stacks-geometry-section-phantom]{The Geometry of Stacks} \end{enumerate} Topics in Moduli Theory \begin{enumerate} \setcounter{enumi}{106} \item \hyperref[moduli-section-phantom]{Moduli Stacks} \item \hyperref[moduli-curves-section-phantom]{Moduli of Curves} \end{enumerate} Miscellany \begin{enumerate} \setcounter{enumi}{108} \item \hyperref[examples-section-phantom]{Examples} \item \hyperref[exercises-section-phantom]{Exercises} \item \hyperref[guide-section-phantom]{Guide to Literature} \item \hyperref[desirables-section-phantom]{Desirables} \item \hyperref[coding-section-phantom]{Coding Style} \item \hyperref[obsolete-section-phantom]{Obsolete} \item \hyperref[fdl-section-phantom]{GNU Free Documentation License} \item \hyperref[index-section-phantom]{Auto Generated Index} \end{enumerate} \end{multicols}