Derived invariance of the signature and Hodge numbers of fourfolds
Status
Not evaluated
Recorded on · hexagonmath.org
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
No DiscoverIA status yet; this does not mean nobody has checked it.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
The gist
Ben Antieau and colleagues, working with a language model, posted an algebraic geometry text on Hexagon on 26 September 2026. The platform labelled it "Primarily AI-generated". Status: not yet evaluated.
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
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/en/fiche/antieau-hodge-numbers-hexagon/#releve-1},
urldate = {2026-10-11}
}Dated link opens this snapshot in the history
Text written by an AI (DiscoverIA pipeline), on Reviewed by: nobody yetReport an error
What has not been reviewed?
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.
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.
Key facts
- Claimed by
- Ben Antieau et collègues (FRG) avec LLM
announced on Sep 26, 2026 - Nature
- new result
- Field
- Mathematics (algebraic geometry)
- Checked by
- no verifier identified
- Sources (domains)
- 1 : 1 links only
- This entry
- AI draft, not reviewed
To understand
Analogy
It is like two very different plans of the same building: the question is whether some counts, such as the number of rooms, must necessarily stay the same from one plan to the other.
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.
1 source.
For experts
Sources(domains)
- primairehexagonmath.orglink only, reading not recorded
Method
Status “not evaluated” recorded on 11 October 2026 from hexagonmath.org (page read, quotation checked word for word).
Limits
DiscoverIA has recorded no independent evaluation as of this date.
It is like two very different plans of the same building: the question is whether some counts, such as the number of rooms, must necessarily stay the same from one plan to the other.
Status history
Only one observation so far.
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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