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Preliminaries
Introduction
Conventions
Set Theory
Categories
Topology
Sheaves on Spaces
Commutative Algebra
Sites and Sheaves
Homological Algebra
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
More on Morphisms
Groupoid Schemes
Etale morphisms of Schemes
Etale Cohomology
Algebraic spaces
Algebraic Spaces
Properties of Algebraic Spaces
Morphisms of Algebraic Spaces
Topologies on Algebraic Spaces
Descent and Algebraic Spaces
Bootstrap
Algebraic stacks
Stacks
Groupoids in Algebraic Spaces
Algebraic Stacks
Examples
Exercises
Guide to Literature
Desirables
Miscellany
Coding Style
GNU Free Documentation License
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