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arXiv · 2011.07512

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

In-Kyun Kim·Takuzo Okada·Joonyeong Won
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Abstract

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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In-Kyun Kim, Takuzo Okada, Joonyeong Won. 2020-11-15. K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces. https://arxiv.org/abs/2011.07512

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