This article is cited in 2 papers

Forms of the Segre Cubic

A. Avilov

Laboratory of algebraic geometry and its applications, National Research University "Higher School of Economics" (HSE), Moscow

Abstract: The forms of the Segre cubic over non-algebraically closed fields, their automorphisms groups, and equivariant birational rigidity are studied. In particular, it is shown that all forms of the Segre cubic over any field have a point and are cubic hypersurfaces.

Keywords: forms of manifolds, automorphism group, birational rigidity.

UDC: 512.765+512.776

Received: 31.12.2018
Revised: 24.03.2019

DOI: 10.4213/mzm12389

 English version: Mathematical Notes, 2020, 107:1, 3–9

Bibliographic databases:

• 
• 
• 
•