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Not evaluated

Derived invariance of the signature and Hodge numbers of fourfolds

The gist

Ben Antieau and colleagues, working with a language model, posted an algebraic geometry text on Hexagon on September 26, 2026. The platform labelled it "Primarily AI-generated". Status: not yet evaluated.

DiscoverIA status on October 11, 2026: not evaluated, meaning no third-party evaluation found.

Status detailsDetails

AI draft, not reviewedWhat has not been reviewed?

Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.

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Cite this entry

A single status snapshot since Oct 11, 2026: a citation always points to a dated snapshot.

Cite snapshot 1, Oct 11, 2026

APA citation with the dated link

DiscoverIA. (2026, October 11). Derived invariance of the signature and Hodge numbers of fourfolds [Status: Not evaluated, snapshot 1]. DiscoverIA registry. https://discoveria.ai/entry/antieau-hodge-numbers-hexagon#releve-1

BibTeX @misc, key discoveria-antieau-hodge-numbers-hexagon-r1

@misc{discoveria-antieau-hodge-numbers-hexagon-r1,
  author       = {{DiscoverIA}},
  title        = {Derived invariance of the signature and Hodge numbers of fourfolds},
  howpublished = {DiscoverIA registry, entry antieau-hodge-numbers-hexagon},
  note         = {Status “Not evaluated”, snapshot 1, recorded on October 11, 2026. New result},
  year         = {2026},
  url          = {https://discoveria.ai/entry/antieau-hodge-numbers-hexagon#releve-1},
  urldate      = {2026-10-11}
}

Dated link opens this snapshot in the history

https://discoveria.ai/entry/antieau-hodge-numbers-hexagon#releve-1

To understand ≈ 20 s reading time, estimated

What it changes

If the result held, it would show that the signature and the Hodge numbers, quantities that describe the shape of these four-dimensional geometric objects, can be read from their derived structure. The title speaks of derived invariance: these quantities would not change from one description to another.

What remains unclear

No verifier is named and no independent review has been recorded. The text is labelled as primarily AI-generated, but the exact split between AI and humans is not specified.

For experts

Sources, method, key facts, status history, report an error

Status

Not evaluated

Recorded on · hexagonmath.org

Step 1 of 4 on the scale: not evaluated. Next step: under review.

  1. Announced
  2. Recordednot evaluated
  3. nextTo follow
What this status means

Source reading : Source read word for word (level 3 of 3)

The result is declared neither right nor wrong.

To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.

Full history

Proofs
dépôt Hexagon

Sources

Method

DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 11, 2026 from hexagonmath.org (page read, quotation checked word for word: “Primarily AI-generated”).

Limits

DiscoverIA has not checked this result itself.

Key facts

Claimed by
Ben Antieau and colleagues (FRG) with LLMs
announced on Sep 26, 2026
Nature
new result
Field
Mathematics (algebraic geometry)
Checked by
no verifier identified
Sources
1 : 1 read word for word
This entry
AI draft, not reviewed

Status history

Only one observation so far.

  1. 01

    First observation:Not evaluatedCurrent status

    Source: hexagonmath.orgread word for word

An observation is added; none is ever erased.

Reactions and objections

  • : Billets de Terence Tao : Math 2.0 (2026-10-10), Hales sur Lean et fiabilité (2026-10-09), Bloom sur les changements du site erdosproblems.com (2026-10-06), Hexagon (2026-10-06) (terrytao.wordpress.com)

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