Problem detail · source-aware
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For every $n\ge2$ the paper exhibits an $n$-dimensional K-polystable toric $\mathbb{Q}$-Fano variety whose alpha invariant is exactly $\tfrac{2}{2n+1}$, answering a question of Liu and Zhuang on whether a K-semistable example exists with alpha invariant between $\tfrac{1}{n+1}$ and $\tfrac1n$.
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.
The abstract states the main result was obtained by ChatGPT 5.5 Pro and the Danus system, an agent built on Rethlas; the proof sketch was likewise produced by the model.
Provider: unknown · Prompt public: unknown · Independence: unknown
No independent check, and the same standing caution about missed literature applies. Preprint, not refereed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Source-reported tools: construction.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.