Birational rigidity and alpha invariants of Fano varieties
| Autor: | Cheltsov, Ivan, Sarikyan, Arman, Zhuang, Ziquan |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove that for every $\epsilon>0$, there is a birationally super-rigid Fano variety $X$ such that $\frac{1}{2}\leqslant\alpha(X)\leqslant \frac{1}{2}+\epsilon$. Also we show that for every $\epsilon>0$, there is a Fano variety $X$ and a finite subgroup $G\subset\mathrm{Aut}(X)$ such that $X$ is $G$-birationally super-rigid, and $\alpha_G(X)<\epsilon$. Comment: 23 pages. This paper is submitted for publication in a volume on the occasion of the 70th anniversary of Slava Shokurov |
| Databáze: | arXiv |
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