VibeMathed reports this item as partial. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Precise statement
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.
The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement
fidelity, correctness, priority, or novelty.
What AI did
Rethlas
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.
No independent check. arXiv preprint, not peer-reviewed. The disclosure does not delimit the machine contribution, so the proof rests on ordinary refereeing.