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arXiv · 2111.09911

Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points

Tommaso de Fernex
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Abstract

Extending previous results, we prove that for $n \ge 5$ all hypersurfaces of degree $n+1$ in ${\mathbb P}^{n+1}$ with isolated ordinary double points are birational superrigid and K-stable, hence admit a weak K\"ahler--Einstein metric.

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Tommaso de Fernex. 2021-11-18. Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points. https://arxiv.org/abs/2111.09911

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