78 Groupoids in Algebraic Spaces

Chapter 78 of the Stacks Project, Groupoids in Algebraic Spaces, Tag 0437: the 26 sections of its 29 with a tag that a declaration carries, one article each, in the Stacks Project's order. Their 84 tags are carried by 222 declarations of the repository (all in StacksFrontier) and 16 registered declarations.

78.4 Equivalence relations to 78.23 The 2-coequalizer…

• 78.4 Equivalence relations
• 78.5 Group algebraic spaces
• 78.6 Properties of group algebraic spaces
• 78.7 Examples of group algebraic spaces
• 78.8 Actions of group algebraic spaces
• 78.9 Principal homogeneous spaces
• 78.10 Equivariant quasi-coherent sheaves
• 78.11 Groupoids in algebraic spaces
• 78.12 Quasi-coherent sheaves on groupoids
• 78.13 Colimits of quasi-coherent modules
• 78.14 Crystals in quasi-coherent sheaves
• 78.15 Groupoids and group spaces
• 78.16 The stabilizer group algebraic space
• 78.17 Restricting groupoids
• 78.18 Invariant subspaces
• 78.19 Quotient sheaves
• 78.20 Quotient stacks
• 78.21 Functoriality of quotient stacks
• 78.22 The 2-cartesian square of a quotient stack
• 78.23 The 2-coequalizer property of a quotient stack

78.24 Explicit description of… to 78.29 Separation conditions

• 78.24 Explicit description of quotient stacks
• 78.25 Restriction and quotient stacks
• 78.26 Inertia and quotient stacks
• 78.27 Gerbes and quotient stacks
• 78.28 Quotient stacks and change of big site
• 78.29 Separation conditions

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