Seminaire de Geometrie Algebrique (SGA): English Translation Working Drafts

Linked SGA record for the Modern LaTeX Editions of Public-Domain Mathematics Manuscripts project. This record collects current English translation working drafts, source/reference PDFs, and render checks for continuing SGA translation work. Top-level translation PDFs are coherent current readers rather than loose section fragments; the artifact ZIP preserves complete TeX/Markdown, render checks, worklogs, validation notes, and reference material.

Human-readable contents. This release contains existing English translation snapshots for SGA 1, SGA 2, and SGA 3; a current English working translation of SGA 4, with Exposes I, II, and III complete and Expose IV translated through section 8.8, available both as a combined reader and as individual Expose readers; and current opening material for SGA 5. Source/reference French PDFs for SGA 1 through SGA 7 are included as top-level checking files where locally available.

Status at a glance.

• SGA 1 existing English snapshot: [##########] present.
• SGA 2 existing English snapshot: [##########] present.
• SGA 3 existing English snapshot: [##########] present.
• SGA 4 Expose I English working draft: [##########] complete current draft, through section 10 and appendix on universes.
• SGA 4 Expose II English working draft: [##########] complete current draft, through section 6.9.
• SGA 4 Expose III English working draft: [##########] complete current draft.
• SGA 4 Expose IV English working draft: [#####-----] current draft through section 8.8.
• SGA 5 English working material: [#---------] combined current reader for opening/introduction and Expose I section 1.
• Original/reference PDFs for SGA 1-7: [##########] present where locally available, as direct top-level files for checking against the translations.
• Mathematical proofreading/final edition status: [----------] working draft; useful for continuation, not a certified critical edition.

Workflow provenance. ChatGPT web/project sessions identify and prioritize older public-domain or otherwise suitable works and review outputs; Codex downloads, indexes, audits, organizes, and publishes public-facing records; agent-swarm transcription systems convert scans to TeX; ChatGPT Pro/web review checks, repairs, and translates. The public organization is by corpus, volume, and expose, not by internal run.