92 Examples of Stacks

Section 92.1: Introduction
Section 92.2: Notation
Section 92.3: Examples of stacks
Section 92.4: Quasi-coherent sheaves
- Equation 92.4.0.1
- Lemma 92.4.1
- Lemma 92.4.2
Section 92.5: The stack of finitely generated quasi-coherent sheaves
- Lemma 92.5.1
- Lemma 92.5.2
- Lemma 92.5.3
- Remark 92.5.4
Section 92.6: Finite étale covers
- Lemma 92.6.1
Section 92.7: Algebraic spaces
- Equation 92.7.0.1
- Lemma 92.7.1
- Lemma 92.7.2
- Remark 92.7.3
Section 92.8: The stack of finite type algebraic spaces
- Lemma 92.8.1
- Lemma 92.8.2
- Remark 92.8.3
Section 92.9: Examples of stacks in groupoids
Section 92.10: The stack associated to a sheaf
Section 92.11: The stack in groupoids of finitely generated quasi-coherent sheaves
Section 92.12: The stack in groupoids of finite type algebraic spaces
Section 92.13: Quotient stacks
Section 92.14: Classifying torsors
- Subsection 92.14.1: Torsors for a sheaf of groups
- Lemma 92.14.2
- Subsection 92.14.3: Variant on torsors for a sheaf
- Lemma 92.14.4
- Subsection 92.14.5: Principal homogeneous spaces
- Remark 92.14.6
- Subsection 92.14.7: Variant on principal homogeneous spaces
- Subsection 92.14.8: Torsors in fppf topology
- Lemma 92.14.9
- Lemma 92.14.10
- Subsection 92.14.11: Variant on torsors in fppf topology
Section 92.15: Quotients by group actions
- Situation 92.15.1
- Lemma 92.15.2
- Proposition 92.15.3
- Lemma 92.15.4 slogan
- Remark 92.15.5
Section 92.16: The Picard stack
- Lemma 92.16.1
Section 92.17: Examples of inertia stacks
- Example 92.17.1
- Example 92.17.2
Section 92.18: Finite Hilbert stacks
- Lemma 92.18.1
- Definition 92.18.2
  - Equation 92.18.2.1
- Lemma 92.18.3