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arXiv · 1810.07333

Birational superrigidity and K-stability of projectively normal Fano manifolds of index one

Fumiaki Suzuki
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Abstract

We prove that every projectively normal Fano manifold in $\mathbb{P}^{n+r}$ of index $1$, codimension $r$ and dimension $n\geq 10r$ is birationally superrigid and K-stable. This result was previously proved by Zhuang under the complete intersection assumption.

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Fumiaki Suzuki. 2018-10-17. Birational superrigidity and K-stability of projectively normal Fano manifolds of index one. https://arxiv.org/abs/1810.07333

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