Problem detail · source-aware

Shokurov's Global Index Conjecture for Foliations

partialconfidence 70%

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.

Provider: unknown · Prompt public: unknown · Independence: unknown

Verification boundary

unreviewed

No independent check. arXiv preprint, not peer-reviewed. The disclosure does not delimit the machine contribution, so the proof rests on ordinary refereeing.

Correctness: unknown · statement fidelity: unaudited · peer review: none

Timeline

  1. arXiv:2605.22735 - Shokurov's global index conjecture for threefold foliations

    proved in dimension at most three

Known method families

argument (source-reported)

Source-reported tools: argument.

Independent: unknown · difference confidence: 0

What remains uncertain

VibeMath has not independently audited the mathematical statement, proof, or novelty claim.

  • VibeMath has not independently verified the mathematical claim.
  • AI-attempt independence and training-data exposure are unknown unless explicitly documented.
  • VibeMath has not independently audited the mathematical statement, proof, or novelty claim.