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arXiv · 1603.04087

Automorphisms of singular three-dimensional cubic hypersurfaces

Artem Avilov
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Abstract

In this paper we classify three-dimensional singular cubic hypersurfaces with an action of a finite group $G$, which are not $G$-rational, are not $G$-birationally isomorphic to a quadric and have no birational structure of $G$-Mori fiber space with the base of positive dimension. Also we prove the $A_{5}$ -birational superrigidity of the Segre cubic.

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Artem Avilov. 2016-03-13. Automorphisms of singular three-dimensional cubic hypersurfaces. https://arxiv.org/abs/1603.04087

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