The Hodge Conjecture via Hodge-Class Persistence and Rigidity

Canonical Lane (defined term): the manifold-constrained local-to-global closure architecture (HOD1–HOD8).

Canonical Lane research workspace addressing the Millennium Problem:

the algebraicity of rational Hodge classes on smooth projective complex varieties.

Main Manuscript

• paper/HODGE_CONJECTURE_PREPRINT.md
• paper/CANONICAL_ROUTING_INDEX.md

Structure

• paper/: main theorem architecture (HOD1–HOD8 chain).
• notes/: closure notes (EG1–EG4) + identification bridge.
• repro/: local certificate workflow and rerun protocol.
• scripts/: local guard and extraction scripts.
• artifacts/: constants registries and stitched constants.

Local Reproducibility Command

bash repro/run_repro.sh

This writes repro/certificate_runtime.json.

How To Read This Professionally

1. Theorem chain first: read paper/HODGE_CONJECTURE_PREPRINT.md.
2. Constants provenance second: audit paper/EXTRACTION_SPEC.md, artifacts/constants_extraction_inputs.json, artifacts/constants_extracted.json, and artifacts/promotion_report.json.
3. Pipeline third: run bash repro/run_repro.sh to audit hashes/provenance/gates; it is reproducibility infrastructure, not theorem generation.

Release modes:

• normalized: status=normalized_placeholder allowed when explicitly labeled.
• fully_extracted: requires status=derived_numeric for all required constants/stitch keys.

Current Hodge runner policy:

• repro/run_repro.sh enforces fully_extracted mode.

Citation

• Metadata: CITATION.cff
• Manuscript target: paper/HODGE_CONJECTURE_PREPRINT.md

Authorship

• Program author: HautevilleHouse
• Canonical attribution source: CITATION.cff