An idiomatic, LLM-generated English translation (Markdown, Unicode mathematics) of the Grothendieck-era Séminaires de Géométrie Algébrique du Bois-Marie.
i/— SGA 1: Étale Coverings and the Fundamental Group (Grothendieck, with Raynaud)ii/— SGA 2: Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globauxiii/— SGA 3: Schémas en Groupes (Demazure–Grothendieck)
Each volume directory has its own README.md with status, exposé index, and translation notes.
- Preserve original numbering of Exposés, sections, and statements.
- Keep technical terms close to community-standard English (étale, scheme, descent); inline a brief definition the first time a term appears in an exposé.
- Mark original page transitions inline as HTML comments where helpful.
- Revise prose for English mathematical idiom while preserving the seminar voice of the originals.
The French source text was drawn from the Grothendieck Circle's archive of Grothendieck's published writings: https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/pubtexts.php. LaTeX community editions (where they exist) were cross-referenced for technical accuracy.
- EGA — English translation — a companion translation, by the same author, of Grothendieck and Dieudonné's Éléments de Géométrie Algébrique, the foundational reference these seminars build on. SGA and EGA cite each other throughout; citations between the two translations are hyperlinked.
- The French LaTeX re-typesettings of the SGA volumes — most notably Bas Edixhoven's volunteer SGA 1 LaTeX project, the 2005 SMF Documents Mathématiques edition of SGA 2 edited by Y. Laszlo et al., and the 2011 SMF re-edition of SGA 3 edited by M. Demazure — were cross-referenced as authoritative French source text.
- The Stacks Project — an open-source modernized algebraic geometry reference that covers much of the SGA material (étale cohomology, descent, fundamental groups, group schemes) in contemporary language, with permanently linkable tags.
The translation is © 2026 Jacob Reinhold and licensed under Creative Commons Attribution 4.0 International (CC BY 4.0); see LICENSE. The underlying French text remains © the original authors and publishers.