论文标题

Birationallationally superrigid Fano的K稳定性3倍加权超曲面

K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces

论文作者

Kim, In-Kyun, Okada, Takuzo, Won, Joonyeong

论文摘要

我们证明,准平滑的Fano的alpha不变型3倍加权索引$ 1 $ $ 1 $大于或等于$ 1/2 $。将其与Stibitz和Zhuang \ cite {sz19}的结果相结合,与Birational Superrigedity和K stability之间的关系,我们证明了Birationallationally superrigid superrigid quasi-smot-smoth fano的k稳定性3倍(Index $ 1 $ $ 1 $)。

We prove that the alpha invariant of a quasi-smooth Fano 3-fold weighted hypersurface of index $1$ is greater than or equal to $1/2$. Combining this with the result of Stibitz and Zhuang \cite{SZ19} on a relation between birational superrigidity and K-stability, we prove the K-stability of a birationally superrigid quasi-smooth Fano 3-fold weighted hypersurfaces of index $1$.

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