Shokurov's Global Index Conjecture for Foliations
Shokurov's global index conjecture, in the setting of foliations. Proved for foliations in dimension at most three, which also answers a question of Liu, Meng and Xie in dimension three.
- Result
- Proved(see note)
- Status
- Partial result
- AI contribution
- AI co-developed
- Method
- Argument
- Field
- Birational geometry
- Posed by
- Vyacheslav Shokurov
- Year posed
- —
- Years open
- —
- Solved
- 2026-05-21
- Model
- Rethlas
- Vendor
- —
- Collaborators
- Jihao Liu, Sheng Qin
- Verification
- Unreviewed
- Publication
- Preprint
- Significance
- 30 / 100
- Disclosed cost
- —
- Wikipedia
- No dedicated article
What was actually shown
proved in dimension at most three
What the AI did
The authors state the main result is partially obtained by generative AI, particularly the Rethlas system. The word doing the work is partially, and the disclosure does not say which parts of the dimension-three argument came from the system and which from the authors.
Verification
arXiv preprint, not peer-reviewed. The disclosure does not delimit the machine contribution, so the proof rests on ordinary refereeing.
Source
arXiv:2605.22735 - Shokurov's global index conjecture for threefold foliations