An English Translation of Grothendieck's SGA

The purpose of this project is to crowdsource an UNOFFICIAL English translation of Alexander Grothendieck's notes from the Séminaire de Géométrie Algébrique du Bois Marie (SGA). Thanks to a project led by Frank Calegari, Jim Borger, and William Stein, a typeset copy of the SGA (in french) can be found here on the ArXiv:0206203. While some knowledge of French will be useful in order to contribute to this project, it's not strictly necessary. Some knowledge of TeX and Google Translate is sufficient.

Coordination

For conventions and suchlike, see conventions.md.

Very little has been translated so far. If there is a section you would like to claim to translate, just edit this README.md and put your name next to the section you'd like to help with.

• Chapter 1 -- Étale morphisms (thosgood)

  • §1
  • §2
  • §3
  • §4
  • §5
  • §6
  • §7
  • §8
  • §9
  • §10
  • §11

• Chapter 2 -- Smooth morphisms: generalities, differential properties

  • §1
  • §2
  • §3
  • §4
  • §5

• Chapter 3 -- Smooth morphisms: properties of extension

  • §1
  • §2
  • §3
  • §4
  • §5
  • §6
  • §7

• Chapter 4 -- Flat morphisms

  • §1
  • §2
  • §3
  • §4
  • §5
  • §6

• Chapter 5 -- The fundamental group: generalities

  • §0
  • §1
  • §2
  • §3
  • §4
  • §5
  • §6
  • §7
  • §8
  • §9

• Chapter 6 -- Fibred categories and descent

  • §0
  • §1
  • §2
  • §3
  • §4
  • §5
  • §6
  • §7
  • §8
  • §9
  • §10
  • §11
  • §12
  • §13

• Chapter 7 -- [does not exist]

• Chapter 8 -- Faithfully flat descent

  • §1
  • §2
  • §3
  • §4
  • §5
  • §6
  • §7
  • §8

• Chapter 9 -- Descent for étale morphisms. Applications to the fundamental group

  • §1
  • §2
  • §3
  • §4
  • §5
  • §6
  • §7

• Chapter 10 -- Theory of specialisation of the fundamental group

  • §1
  • §2
  • §3
  • §4

• Chapter 11 -- Examples and additional material

  • §1
  • §2
  • §3
  • §4
  • §5
  • §6
  • §7

• Chapter 12 -- Algebraic geometry and analytic geometry

  • §1
  • §2
  • §3
  • §4
  • §5
  • §6

• Chapter 13 -- Cohomological properties of sheaves of sets and non-commutative groups

  • §1
  • §2
  • §3
  • §4
  • §5
  • §6
  • §7

• Index of Terminology

• Index of Notation

To-do

• Setup the Projects page (?).
• Add a bunch of \newcommands to a common file, so we can more easily keep notation consistent through the translation.
• Consider adding the \newenvironments to their own file and standardizing those too?
• Translate the thing. ;)
• Have a current working compiled version of the document in the repository.
• Create a title page and cover page.