103 More on Morphisms of Stacks

Section 103.1: Introduction
Section 103.2: Conventions and abuse of language
Section 103.3: Thickenings
- Definition 103.3.1
- Lemma 103.3.2
- Definition 103.3.3
- Lemma 103.3.4
- Lemma 103.3.5
- Example 103.3.6
- Lemma 103.3.7
- Lemma 103.3.8
- Lemma 103.3.9 reference
Section 103.4: Morphisms of thickenings
- Lemma 103.4.1
Section 103.5: Infinitesimal deformations of algebraic stacks
- Lemma 103.5.1
- Lemma 103.5.2
Section 103.6: Lifting affines
- Remark 103.6.1: Category of lifts
  - Equation 103.6.1.1
  - Equation 103.6.1.2
- Lemma 103.6.2
- Lemma 103.6.3
- Lemma 103.6.4
- Lemma 103.6.5
- Lemma 103.6.6
- Lemma 103.6.7
- Lemma 103.6.8
  - Equation 103.6.8.1
- Proposition 103.6.9: Emerton reference
Section 103.7: Infinitesimal deformations
- Lemma 103.7.1
- Lemma 103.7.2
- Lemma 103.7.3
- Lemma 103.7.4
Section 103.8: Formally smooth morphisms
- Definition 103.8.1
  - Equation 103.8.1.1
- Lemma 103.8.2
- Lemma 103.8.3
- Lemma 103.8.4: Infinitesimal lifting criterion
Section 103.9: Blowing up and flatness
- Lemma 103.9.1
Section 103.10: Chow's lemma for algebraic stacks
- Lemma 103.10.1
- Lemma 103.10.2
- Theorem 103.10.3: Chow's lemma reference
Section 103.11: Noetherian valuative criterion
- Lemma 103.11.1
- Lemma 103.11.2
- Lemma 103.11.3
Section 103.12: Moduli spaces
- Definition 103.12.1
- Lemma 103.12.2
- Lemma 103.12.3
- Lemma 103.12.4
Section 103.13: The Keel-Mori theorem
- Definition 103.13.1
- Lemma 103.13.2
- Lemma 103.13.3
- Lemma 103.13.4
- Lemma 103.13.5
- Lemma 103.13.6
- Lemma 103.13.7
- Lemma 103.13.8
- Theorem 103.13.9: Keel-Mori
  - Equation 103.13.9.1
- Lemma 103.13.10
Section 103.14: Properties of moduli spaces
- Lemma 103.14.1
- Lemma 103.14.2
- Lemma 103.14.3