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.

Details

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
General Mathematics
Electronic version(s)
https://doi.org/10.48550/arXiv.1810.08960 (Access: Open )
https://doi.org/10.1093/imrn/rnab102 (Access: Closed )
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