Public SGA working-translation record for the Modern LaTeX Editions of Mathematics Manuscripts project. This version keeps the current reader-facing PDFs, source-scan witnesses, and compact source ZIPs, while adding the SGA5/SGA6 repair027 cumulative French-output package as the latest compact cumulative branch.Status at a glance. This is a substantial working-draft and repair record, not a globally certified complete edition or critical edition. Repair027 contains canonical cumulative French outputs only: SGA5 cumulative French TeX/PDF and SGA6 cumulative French TeX/PDF. No source-indexed/page-expanded audit PDF is included in repair027. SGA5 changes are small relative to repair026; SGA6 TeX/PDF are materially refreshed relative to repair026. SGA5 English remains an unsynchronized carry-forward branch. SGA6 dense worklist material remains open. SGA6 and SGA7 material should still be read with explicit working-draft/compression caveats unless a specific packet declares narrower source-checked coverage.File-surface curation note. The SGA record is at Zenodo's 100-file ceiling. This version removes sga5_sga6_repair026_cumulative_20260612.zip from the latest file surface in order to add sga5_sga6_repair027_cumulative_20260613.zip. Repair026 and repair025 remain preserved in preceding Zenodo versions; repair025 included a 484-page source-indexed SGA5 audit PDF and page map. Repair027 is a compact cumulative-output refresh, not a replacement audit PDF.Filename warning. Older filenames containing words such as Complete, Strict, or Source-Checked are legacy package names and are not current global certification claims. Source-witness and aid ZIPs are locator/check layers, not textual authority by themselves.Corrections and contributions. Source comparisons, LaTeX fixes, translation corrections, and reader-facing issue reports can be suggested through the GitHub mirror via issues or pull requests: https://github.com/KokunoYumeto/modern-latex-manuscripts.