SGA 1, SGA 2, SGA 5, and SGA 6: Modern LaTeX Working Editions, Bounded Translations, and Audit Materials

This record contains machine-assisted modern-LaTeX working editions, bounded translations, source workpasses, and audit materials for SGA 1, SGA 2, SGA 5, and SGA 6. SGA 1: the current bounded English checkpoint covers Expose I opening through section I.5, French authority lines 556-1167, and continues at excluded line 1168, section I.6. Corollary I.5.3's shared missing-etale hypothesis is corrected and immediately disclosed with a counterexample. SGA 2: the current bounded English checkpoint contains complete Expose V, corrected French lines 1770-2136, and continues at line 2139, Expose VI. It was assembled from fourteen independently sealed units. SGA 1 and SGA 2 are both active translation lanes; neither volume is complete. SGA 5 and SGA 6: the clean existing objects are retained byte-for-byte. SGA 5 is a selected ten-expose source-synchronized working edition, not complete SGA 5. SGA 6 retains explicit mixed authority layers and is not a uniform whole-volume source-faithful certification. Evidence: the support archives retain editable TeX, source/formula/terminology/adverse ledgers, structural indices, append-only difficulty and revision records, build evidence, checksums, validation, and public-projection receipts. A rights-aware visual archive indexes twenty-five project-generated output images with stable IDs, hashes, dimensions, linked units, and QA dispositions. It contains no French source pixels. Status and rights: these are bounded working translations and source workpasses, not critical editions, peer review, proof certification, independent human review, accessibility certification, native/community certification, complete SGA volumes, or rights-clearance determinations. No blanket license over the French sources or new English translations is asserted. The record rights field is therefore License Not Specified. GitHub: corrections and improvements can be proposed at https://github.com/KokunoYumeto/modern-latex-manuscripts.