SGA 5 and SGA 6: Modern LaTeX Working Editions, French Source Workpasses, English and Spanish Translations, and Audit Materials

This is the reader-facing SGA working record for the Modern LaTeX Editions of Mathematics Manuscripts project. It contains modern LaTeX working editions, French source-repair workpasses, machine-assisted English and Spanish translations, source witnesses, build evidence, and audit material for SGA 5 and SGA 6. Open first: 00_SGA5_English_SourceChecked_WorkingTranslation_NotCritical_20260717.pdf, the current 309-page source-aware SGA 5 English working translation. The record also directly exposes SGA5_ES_356U_304P_REAUDITED.pdf, the corrected 304-page Spanish checkpoint; 02_SGA6_English_FullRange_Layered_WorkingReader_CORRECTED_20260718.pdf, the corrected 381-page SGA 6 English reader; and 01_SGA6_French_SourceRescribe_Workpass_NotCertified_idx684_20260718.pdf, the current 374-page French SGA 6 source-rescribe checkpoint. SGA 5 Spanish correction: this version supersedes record 21428977. It retains the 356 source-reconciled editable units through Expose XV Lemma 3 and the continuation cursor immediately before French authority line 15068, but replaces the preceding Spanish payload after a current-model re-audit of all eleven units from authority lines 14682--15066. That re-audit repaired two misspellings and one ambiguous noun order; it found no mathematical omission or formula defect in the re-read interval. The corrected 304-page PDF and editable-source ZIP are published with their exact handoff and SHA-256 file. SGA 6 English authority layers: source-PDF 001--525 uses an inherited English control that is partially source-synchronized but not globally source-checked; idx532--662 is source-checked against the directly checked French workpass available for that range; idx663--702 and terminal matter are scan-checked English draft layers pending later French reconciliation. The bounded Spanish SGA 6 Expose X tranche for idx532--537 is retained. French workpasses: the SGA 6 linear pagewise pass remains frozen at public idx684 / volume p. 671 / Expose XIV p. 5. The French SGA 5 workpass remains an authority layer with explicit caveats. Their grouped ZIPs retain editable TeX, ledgers, source witnesses, render checks, compile evidence, and checksums. Status: these are substantive machine-assisted, source-aware working editions and translations, not OCR-only output. SGA 5 Spanish remains incomplete: French authority lines 15068--15415 and later material remain at this cursor, and SGA 6 Spanish has not begun beyond the retained bounded Expose X tranche. None of these files is an independently human-certified critical edition, complete SGA translation, whole-volume source-faithfulness certification, publication-grade proofread edition, or diagram-by-diagram certification. Known and unknown mathematical or diagram errors may remain. Corrections can be proposed through the GitHub mirror.