Evidence bundle for Reducible incidence divisors and the isolation of affine slices in binary-form factorisation spaces
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Evidence bundle for an unrefereed candidate manuscript that presents proofs classifying reducible marked-common-root incidence divisors for adjacent binary-form degrees, excluding affine space in every higher adjacent degree, and giving a cyclic-action obstruction in non-adjacent degrees. The bundle includes bounded exact computational audits; it is not peer review or formal verification.
Status: unrefereed candidate mathematical manuscript. No peer review, no independent external reproduction, and no complete human mathematical verification are documented. Deposit on Zenodo does not upgrade this status; the bundle is offered for scrutiny.
Version 1.0.1: provenance-strengthening release. It credits Skooi's complete (1,d-1) projective-complement exclusion by class groups and units, including arbitrary characteristic, and Shubhodip Mondal's caveated GPT-assisted indication of the Picard necessity |a-b|=1. The paper separately identifies its candidate additions: a different normalized-slice mechanism for general positive (r,s) over the complex numbers, the full adjacent (m,m+1) column, and the conditional two-factor isolation theorem. The exact thread snapshot and corrected multi-route citation gate are included.
Attribution (repository-reported): credited authors OpenAI Codex 5.6 Sol and Anthropic Fable 5. Research direction and mediation, repository maintenance, and publication: Ian Pitchford, CC0 affirmer only to the extent he holds the relevant rights. These repository-reported labels describe the documented workflow and do not imply endorsement by OpenAI or Anthropic.
Archive: exact tracked-file archive of tag v1.0.1 of github.com/ipitchford/reducible-incidence-divisors-affine-slices, commit 5b01190b37d5a8c43073a0eb5f1e5c94c65864ad; SHA-256 b733f4db720495fc9654e83a45fc7d77edc9a72a225b919e436cdf2ce924fbc9.
Rights: CC0-1.0 applies to original contents only. thread_snapshot_2026-07-28.json reproduces third-party comments as archival evidence and is not dedicated under CC0 by this repository.
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reducible-incidence-divisors-affine-slices-1.0.1.zip
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Additional details
Related works
- Cites
- 10.1090/S1056-3911-2014-00612-3 (DOI)
- Continues
- 10.5281/zenodo.21647607 (DOI)
- Is identical to
- https://github.com/ipitchford/reducible-incidence-divisors-affine-slices/releases/tag/v1.0.1 (URL)
- Is supplement to
- https://sbseminar.wordpress.com/2026/07/20/the-new-counterexample-to-the-jacobian-conjecture/ (URL)