95 Examples of Stacks

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Section 95.1: Introduction
Section 95.2: Notation
Section 95.3: Examples of stacks
Section 95.4: Quasi-coherent sheaves
- Equation 95.4.0.1
- Lemma 95.4.1
- Lemma 95.4.2
Section 95.5: The stack of finitely generated quasi-coherent sheaves
- Lemma 95.5.1
- Lemma 95.5.2
- Lemma 95.5.3
- Remark 95.5.4
Section 95.6: Finite étale covers
- Lemma 95.6.1
Section 95.7: Algebraic spaces
- Equation 95.7.0.1
- Lemma 95.7.1
- Lemma 95.7.2
- Remark 95.7.3
Section 95.8: The stack of finite type algebraic spaces
- Lemma 95.8.1
- Lemma 95.8.2
- Remark 95.8.3
Section 95.9: Examples of stacks in groupoids
Section 95.10: The stack associated to a sheaf
Section 95.11: The stack in groupoids of finitely generated quasi-coherent sheaves
Section 95.12: The stack in groupoids of finite type algebraic spaces
Section 95.13: Quotient stacks
Section 95.14: Classifying torsors
- Subsection 95.14.1: Torsors for a sheaf of groups
- Lemma 95.14.2
- Subsection 95.14.3: Variant on torsors for a sheaf
- Lemma 95.14.4
- Subsection 95.14.5: Principal homogeneous spaces
- Remark 95.14.6
- Subsection 95.14.7: Variant on principal homogeneous spaces
- Subsection 95.14.8: Torsors in fppf topology
- Lemma 95.14.9
- Lemma 95.14.10
- Subsection 95.14.11: Variant on torsors in fppf topology
Section 95.15: Quotients by group actions
- Situation 95.15.1
- Lemma 95.15.2
- Proposition 95.15.3
- Lemma 95.15.4 slogan
- Remark 95.15.5
Section 95.16: The Picard stack
- Lemma 95.16.1
Section 95.17: Examples of inertia stacks
- Example 95.17.1
- Example 95.17.2
Section 95.18: Finite Hilbert stacks
- Lemma 95.18.1
- Definition 95.18.2
  - Equation 95.18.2.1
- Lemma 95.18.3