Boucksom's Local Analytic Bertini Conjecture
Does the analytic Bertini restriction theorem for multiplier ideals hold locally, outside a pluripolar exceptional set of fibers? Proved in full generality.
- Result
- Proved
- Status
- Resolved
- AI contribution
- AI co-developed
- Method
- Argument
- Field
- Pluripotential theory
- Posed by
- Sébastien Boucksom
- Year posed
- —
- Years open
- —
- Solved
- 2026-07-28
- Model
- Rethlas (GPT-5.6 Sol)
- Vendor
- OpenAI
- Collaborators
- Mingchen Xia
- Verification
- Unreviewed
- Publication
- Preprint
- Significance
- 15 / 100
- Disclosed cost
- —
- Wikipedia
- No dedicated article
What the AI did
The author had the proof idea before the AI era; Rethlas running GPT-5.6 Sol first carried out the details, and Xia then simplified and largely rewrote the proof.
Verification
Author-rewritten arXiv preprint. Not yet peer-reviewed.
Source
arXiv:2607.25230 - Analytic Bertini theorem II: the local case