English

On forms of the Segre cubic

Algebraic Geometry 2019-01-01 v1

Abstract

In this article we study forms of the Segre cubic over non-algebraically closed fields, their automorphism groups and equivariant birational rigidity. In particular, we show that all forms of the Segre cubic are cubic hypersurfaces and all of them have a point.

Keywords

Cite

@article{arxiv.1812.11363,
  title  = {On forms of the Segre cubic},
  author = {Artem Avilov},
  journal= {arXiv preprint arXiv:1812.11363},
  year   = {2019}
}
R2 v1 2026-06-23T06:58:45.719Z