Han and Jiang's Question on klt Type in Flat Families

Precise statement

Han and Jiang asked whether being of klt type is an open condition in flat families of varieties. It is not.

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

ChatGPT Pro 5.5 and Rethlas

The division of labour is stated precisely, which is rare: ChatGPT Pro 5.5 suggested the general idea for the counterexample, and the Rethlas system found the explicit example and proved it. The author describes the construction as substantially using generative AI.

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

Verification boundary

unreviewed

No independent check. The refutation is an explicit counterexample, so it reduces to checking that the stated family has the claimed properties. arXiv preprint, not peer-reviewed.

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

Timeline

1. 2026-05-21

   arXiv:2605.22250 - A question on klt type varieties of Han and Jiang

   VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.

Known method families

construction (source-reported)

Source-reported tools: construction.

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.