105 More on Morphisms of Stacks

Section 105.1: Introduction
Section 105.2: Conventions and abuse of language
Section 105.3: Thickenings
- Definition 105.3.1
- Lemma 105.3.2
- Definition 105.3.3
- Lemma 105.3.4
- Lemma 105.3.5
- Example 105.3.6
- Lemma 105.3.7
- Lemma 105.3.8
- Lemma 105.3.9 reference
Section 105.4: Morphisms of thickenings
- Lemma 105.4.1
Section 105.5: Infinitesimal deformations of algebraic stacks
- Lemma 105.5.1
- Lemma 105.5.2
Section 105.6: Lifting affines
- Remark 105.6.1: Category of lifts
  - Equation 105.6.1.1
  - Equation 105.6.1.2
- Lemma 105.6.2
- Lemma 105.6.3
- Lemma 105.6.4
- Lemma 105.6.5
- Lemma 105.6.6
- Lemma 105.6.7
- Lemma 105.6.8
  - Equation 105.6.8.1
- Proposition 105.6.9: Emerton reference
Section 105.7: Infinitesimal deformations
- Lemma 105.7.1
- Lemma 105.7.2
- Lemma 105.7.3
- Lemma 105.7.4
Section 105.8: Formally smooth morphisms
- Definition 105.8.1
  - Equation 105.8.1.1
- Lemma 105.8.2
- Lemma 105.8.3
- Lemma 105.8.4: Infinitesimal lifting criterion
Section 105.9: Blowing up and flatness
- Lemma 105.9.1
Section 105.10: Chow's lemma for algebraic stacks
- Lemma 105.10.1
- Lemma 105.10.2
- Theorem 105.10.3: Chow's lemma reference
Section 105.11: Noetherian valuative criterion
- Lemma 105.11.1
- Lemma 105.11.2
- Lemma 105.11.3
Section 105.12: Moduli spaces
- Definition 105.12.1
- Lemma 105.12.2
- Lemma 105.12.3
- Lemma 105.12.4
Section 105.13: The Keel-Mori theorem
- Definition 105.13.1
- Lemma 105.13.2
- Lemma 105.13.3
- Lemma 105.13.4
- Lemma 105.13.5
- Lemma 105.13.6
- Lemma 105.13.7
- Lemma 105.13.8
- Theorem 105.13.9: Keel-Mori
  - Equation 105.13.9.1
- Lemma 105.13.10
Section 105.14: Properties of moduli spaces
- Lemma 105.14.1
- Lemma 105.14.2
- Lemma 105.14.3
Section 105.15: Stacks and fpqc coverings
- Proposition 105.15.1 reference
Section 105.16: Tensor functors
- Lemma 105.16.1
- Lemma 105.16.2
- Lemma 105.16.3
- Lemma 105.16.4
- Lemma 105.16.5
- Lemma 105.16.6
- Lemma 105.16.7
- Theorem 105.16.8