104 More on Morphisms of Stacks

Section 104.1: Introduction
Section 104.2: Conventions and abuse of language
Section 104.3: Thickenings
- Definition 104.3.1
- Lemma 104.3.2
- Definition 104.3.3
- Lemma 104.3.4
- Lemma 104.3.5
- Example 104.3.6
- Lemma 104.3.7
- Lemma 104.3.8
- Lemma 104.3.9 reference
Section 104.4: Morphisms of thickenings
- Lemma 104.4.1
Section 104.5: Infinitesimal deformations of algebraic stacks
- Lemma 104.5.1
- Lemma 104.5.2
Section 104.6: Lifting affines
- Remark 104.6.1: Category of lifts
  - Equation 104.6.1.1
  - Equation 104.6.1.2
- Lemma 104.6.2
- Lemma 104.6.3
- Lemma 104.6.4
- Lemma 104.6.5
- Lemma 104.6.6
- Lemma 104.6.7
- Lemma 104.6.8
  - Equation 104.6.8.1
- Proposition 104.6.9: Emerton reference
Section 104.7: Infinitesimal deformations
- Lemma 104.7.1
- Lemma 104.7.2
- Lemma 104.7.3
- Lemma 104.7.4
Section 104.8: Formally smooth morphisms
- Definition 104.8.1
  - Equation 104.8.1.1
- Lemma 104.8.2
- Lemma 104.8.3
- Lemma 104.8.4: Infinitesimal lifting criterion
Section 104.9: Blowing up and flatness
- Lemma 104.9.1
Section 104.10: Chow's lemma for algebraic stacks
- Lemma 104.10.1
- Lemma 104.10.2
- Theorem 104.10.3: Chow's lemma reference
Section 104.11: Noetherian valuative criterion
- Lemma 104.11.1
- Lemma 104.11.2
- Lemma 104.11.3
Section 104.12: Moduli spaces
- Definition 104.12.1
- Lemma 104.12.2
- Lemma 104.12.3
- Lemma 104.12.4
Section 104.13: The Keel-Mori theorem
- Definition 104.13.1
- Lemma 104.13.2
- Lemma 104.13.3
- Lemma 104.13.4
- Lemma 104.13.5
- Lemma 104.13.6
- Lemma 104.13.7
- Lemma 104.13.8
- Theorem 104.13.9: Keel-Mori
  - Equation 104.13.9.1
- Lemma 104.13.10
Section 104.14: Properties of moduli spaces
- Lemma 104.14.1
- Lemma 104.14.2
- Lemma 104.14.3