98 More on Morphisms of Stacks

Section 98.1: Introduction
Section 98.2: Conventions and abuse of language
Section 98.3: Thickenings
- Definition 98.3.1
- Lemma 98.3.2
- Definition 98.3.3
- Lemma 98.3.4
- Lemma 98.3.5
- Example 98.3.6
- Lemma 98.3.7
- Lemma 98.3.8
- Lemma 98.3.9 reference
Section 98.4: Morphisms of thickenings
- Lemma 98.4.1
Section 98.5: Infinitesimal deformations of algebraic stacks
- Lemma 98.5.1
- Lemma 98.5.2
Section 98.6: Lifting affines
- Remark 98.6.1: Category of lifts
  - Equation 98.6.1.1
  - Equation 98.6.1.2
- Lemma 98.6.2
- Lemma 98.6.3
- Lemma 98.6.4
- Lemma 98.6.5
- Lemma 98.6.6
- Lemma 98.6.7
- Lemma 98.6.8
  - Equation 98.6.8.1
- Proposition 98.6.9: Emerton reference
Section 98.7: Infinitesimal deformations
- Lemma 98.7.1
- Lemma 98.7.2
- Lemma 98.7.3
- Lemma 98.7.4
Section 98.8: Formally smooth morphisms
- Definition 98.8.1
  - Equation 98.8.1.1
- Lemma 98.8.2
- Lemma 98.8.3
- Lemma 98.8.4: Infinitesimal lifting criterion
Section 98.9: Blowing up and flatness
- Lemma 98.9.1
Section 98.10: Chow's lemma for algebraic stacks
- Lemma 98.10.1
- Lemma 98.10.2
- Theorem 98.10.3: Chow's lemma reference
Section 98.11: Noetherian valuative criterion
- Lemma 98.11.1
- Lemma 98.11.2
- Lemma 98.11.3
Section 98.12: Moduli spaces
- Definition 98.12.1
- Lemma 98.12.2
- Lemma 98.12.3
- Lemma 98.12.4
Section 98.13: The Keel-Mori theorem
- Definition 98.13.1
- Lemma 98.13.2
- Lemma 98.13.3
- Lemma 98.13.4
- Lemma 98.13.5
- Lemma 98.13.6
- Lemma 98.13.7
- Lemma 98.13.8
- Theorem 98.13.9: Keel-Mori
  - Equation 98.13.9.1
- Lemma 98.13.10
Section 98.14: Properties of moduli spaces
- Lemma 98.14.1
- Lemma 98.14.2
- Lemma 98.14.3