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Preliminaries
Introduction
Conventions
Set Theory
Categories
Topology
Sheaves on Spaces
Commutative Algebra
Brauer Groups
Sites and Sheaves
Homological Algebra
Derived Categories
More Algebra
Smoothing Ring Maps
Simplicial Methods
Sheaves of Modules
Modules on Sites
Injectives
Cohomology of Sheaves
Cohomology on Sites
Hypercoverings
Schemes
Schemes
Constructions of Schemes
Properties of Schemes
Morphisms of Schemes
Cohomology of coherent sheaves
Divisors
Limits of Schemes
Varieties
Chow homology
Topologies on Schemes
Descent
Adequate Modules
More on Morphisms
More on Flatness
Groupoid Schemes
More on Groupoid Schemes
Étale Morphisms of Schemes
Étale Cohomology
Crystalline Cohomology
Algebraic spaces
Algebraic Spaces
Properties of Algebraic Spaces
Morphisms of Algebraic Spaces
Decent Algebraic Spaces
Topologies on Algebraic Spaces
Descent and Algebraic Spaces
More on Morphisms of Spaces
Quot and Hilbert Spaces
Spaces over Fields
Cohomology of Algebraic Spaces
Algebraic stacks
Stacks
Formal Deformation Theory
Groupoids in Algebraic Spaces
More on Groupoids in Spaces
Bootstrap
Examples of Stacks
Quotients of Groupoids
Algebraic Stacks
Sheaves on Algebraic Stacks
Criteria for Representability
Artin's Axioms
Properties of Algebraic Stacks
Morphisms of Algebraic Stacks
Cohomology of Algebraic Stacks
Introducing Algebraic Stacks
Examples
Exercises
Guide to Literature
Desirables
Miscellany
Coding Style
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