Automorphisms of singular three-dimensional cubic hypersurfaces
Algebraic Geometry
2018-11-21 v2
Abstract
In this paper we classify three-dimensional singular cubic hypersurfaces with an action of a finite group , which are not -rational, are not -birationally isomorphic to a quadric and have no birational structure of -Mori fiber space with the base of positive dimension. Also we prove the -birational superrigidity of the Segre cubic.
Cite
@article{arxiv.1603.04087,
title = {Automorphisms of singular three-dimensional cubic hypersurfaces},
author = {Artem Avilov},
journal= {arXiv preprint arXiv:1603.04087},
year = {2018}
}