The Stacks project

113 Desirables

  • Section 113.1: Introduction
  • Section 113.2: Conventions
  • Section 113.3: Sites and Topoi
  • Section 113.4: Stacks
  • Section 113.5: Simplicial methods
  • Section 113.6: Cohomology of schemes
  • Section 113.7: Deformation theory à la Schlessinger
  • Section 113.8: Definition of algebraic stacks
  • Section 113.9: Examples of schemes, algebraic spaces, algebraic stacks
  • Section 113.10: Properties of algebraic stacks
  • Section 113.11: Lisse étale site of an algebraic stack
  • Section 113.12: Things you always wanted to know but were afraid to ask
  • Section 113.13: Quasi-coherent sheaves on stacks
  • Section 113.14: Flat and smooth
  • Section 113.15: Artin's representability theorem
  • Section 113.16: DM stacks are finitely covered by schemes
  • Section 113.17: Martin Olsson's paper on properness
  • Section 113.18: Proper pushforward of coherent sheaves
  • Section 113.19: Keel and Mori
  • Section 113.20: Add more here