94 Examples of Stacks

Section 94.1: Introduction
Section 94.2: Notation
Section 94.3: Examples of stacks
Section 94.4: Quasi-coherent sheaves
- Equation 94.4.0.1
- Lemma 94.4.1
- Lemma 94.4.2
Section 94.5: The stack of finitely generated quasi-coherent sheaves
- Lemma 94.5.1
- Lemma 94.5.2
- Lemma 94.5.3
- Remark 94.5.4
Section 94.6: Finite étale covers
- Lemma 94.6.1
Section 94.7: Algebraic spaces
- Equation 94.7.0.1
- Lemma 94.7.1
- Lemma 94.7.2
- Remark 94.7.3
Section 94.8: The stack of finite type algebraic spaces
- Lemma 94.8.1
- Lemma 94.8.2
- Remark 94.8.3
Section 94.9: Examples of stacks in groupoids
Section 94.10: The stack associated to a sheaf
Section 94.11: The stack in groupoids of finitely generated quasi-coherent sheaves
Section 94.12: The stack in groupoids of finite type algebraic spaces
Section 94.13: Quotient stacks
Section 94.14: Classifying torsors
- Subsection 94.14.1: Torsors for a sheaf of groups
- Lemma 94.14.2
- Subsection 94.14.3: Variant on torsors for a sheaf
- Lemma 94.14.4
- Subsection 94.14.5: Principal homogeneous spaces
- Remark 94.14.6
- Subsection 94.14.7: Variant on principal homogeneous spaces
- Subsection 94.14.8: Torsors in fppf topology
- Lemma 94.14.9
- Lemma 94.14.10
- Subsection 94.14.11: Variant on torsors in fppf topology
Section 94.15: Quotients by group actions
- Situation 94.15.1
- Lemma 94.15.2
- Proposition 94.15.3
- Lemma 94.15.4 slogan
- Remark 94.15.5
Section 94.16: The Picard stack
- Lemma 94.16.1
Section 94.17: Examples of inertia stacks
- Example 94.17.1
- Example 94.17.2
Section 94.18: Finite Hilbert stacks
- Lemma 94.18.1
- Definition 94.18.2
  - Equation 94.18.2.1
- Lemma 94.18.3