93 Examples of Stacks

Section 93.1: Introduction
Section 93.2: Notation
Section 93.3: Examples of stacks
Section 93.4: Quasi-coherent sheaves
- Equation 93.4.0.1
- Lemma 93.4.1
- Lemma 93.4.2
Section 93.5: The stack of finitely generated quasi-coherent sheaves
- Lemma 93.5.1
- Lemma 93.5.2
- Lemma 93.5.3
- Remark 93.5.4
Section 93.6: Finite étale covers
- Lemma 93.6.1
Section 93.7: Algebraic spaces
- Equation 93.7.0.1
- Lemma 93.7.1
- Lemma 93.7.2
- Remark 93.7.3
Section 93.8: The stack of finite type algebraic spaces
- Lemma 93.8.1
- Lemma 93.8.2
- Remark 93.8.3
Section 93.9: Examples of stacks in groupoids
Section 93.10: The stack associated to a sheaf
Section 93.11: The stack in groupoids of finitely generated quasi-coherent sheaves
Section 93.12: The stack in groupoids of finite type algebraic spaces
Section 93.13: Quotient stacks
Section 93.14: Classifying torsors
- Subsection 93.14.1: Torsors for a sheaf of groups
- Lemma 93.14.2
- Subsection 93.14.3: Variant on torsors for a sheaf
- Lemma 93.14.4
- Subsection 93.14.5: Principal homogeneous spaces
- Remark 93.14.6
- Subsection 93.14.7: Variant on principal homogeneous spaces
- Subsection 93.14.8: Torsors in fppf topology
- Lemma 93.14.9
- Lemma 93.14.10
- Subsection 93.14.11: Variant on torsors in fppf topology
Section 93.15: Quotients by group actions
- Situation 93.15.1
- Lemma 93.15.2
- Proposition 93.15.3
- Lemma 93.15.4 slogan
- Remark 93.15.5
Section 93.16: The Picard stack
- Lemma 93.16.1
Section 93.17: Examples of inertia stacks
- Example 93.17.1
- Example 93.17.2
Section 93.18: Finite Hilbert stacks
- Lemma 93.18.1
- Definition 93.18.2
  - Equation 93.18.2.1
- Lemma 93.18.3