Existence of Equivariant Models of Spherical Varieties and Other G-varieties

authored by

Mikhail Borovoi, Giuliano Claudio Gagliardi

Abstract

Let k0 be a field of characteristic 0 with algebraic closure k⁠. Let G be a connected reductive k-group, and let Y be a spherical variety over k (a spherical homogeneous space or a spherical embedding). Let G0 be a k0-model (⁠k0-form) of G⁠. We give necessary and sufficient conditions for the existence of a G0-equivariant k0-model of Y⁠.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Tel Aviv University

Type

Article

Journal

International Mathematics Research Notices

Volume

2022

Pages

15932–16034

No. of pages

103

ISSN

1073-7928

Publication date

10.2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all)

Electronic version(s)

https://doi.org/10.48550/arXiv.1810.08960 (Access: Open)
https://doi.org/10.1093/imrn/rnab102 (Access: Closed)