schema_version: 1
title: 'Hodge Classes on Abelian Sixfolds: Constructions and a Conditional Proof'
abstract: A twenty-one-case research draft on rational Hodge classes of complex abelian
  sixfolds. The overall sixfold conclusion is conditional on the manuscript-specific
  split-eightfold Weil, CM, complete Kuga–Satake and auxiliary spin-tensor algebraicity
  assertions. Individual unconditional strata and all-powers results have the narrower
  scopes recorded in the manuscript and theorem registry; no unconditional resolution
  is claimed.
field: Algebraic geometry
license: CC-BY-4.0
type: paper
authors:
- eggtea
keywords:
- Hodge conjecture
- abelian sixfolds
- conditional proof
main: 1_paper.pdf
takeaways: takeaways.md
verification:
- type: review
  path: verification/review.md
  status: materials-present-not-independently-verified
  model: GPT-6 (Codex; exact runtime variant not exposed)
  date: '2026-10-17'
  scope: Statement, assumptions, public-summary and supplied-review provenance audit;
    not a complete fresh proof review.
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