The Stacks project

111 Desirables

  • Section 111.1: Introduction
  • Section 111.2: Conventions
  • Section 111.3: Sites and Topoi
  • Section 111.4: Stacks
  • Section 111.5: Simplicial methods
  • Section 111.6: Cohomology of schemes
  • Section 111.7: Deformation theory √† la Schlessinger
  • Section 111.8: Definition of algebraic stacks
  • Section 111.9: Examples of schemes, algebraic spaces, algebraic stacks
  • Section 111.10: Properties of algebraic stacks
  • Section 111.11: Lisse √©tale site of an algebraic stack
  • Section 111.12: Things you always wanted to know but were afraid to ask
  • Section 111.13: Quasi-coherent sheaves on stacks
  • Section 111.14: Flat and smooth
  • Section 111.15: Artin's representability theorem
  • Section 111.16: DM stacks are finitely covered by schemes
  • Section 111.17: Martin Olsson's paper on properness
  • Section 111.18: Proper pushforward of coherent sheaves
  • Section 111.19: Keel and Mori
  • Section 111.20: Add more here