On forms of the Segre cubic

2018/12/29 by Avilov, Artem
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.11363

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.

Related

• Unirationality of cubic hypersurfaces
• Quasitriviality of the Forms of Segre Varieties
• Equivariant geometry of the Segre cubic and the Burkhardt quartic
• The Segre cubic and Borcherds products
• A characterization of secant varieties of Severi varieties among cubic hypersurfaces