Publication details

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)