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

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Authors

  • Mikhail Borovoi
  • Giuliano Claudio Gagliardi

External Research Organisations

  • Tel Aviv University
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Details

Original languageEnglish
Pages (from-to)15932–16034
Number of pages103
JournalInternational Mathematics Research Notices
Volume2022
Issue number20
Early online date10 Jul 2021
Publication statusPublished - Oct 2022

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.

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Cite this

Existence of Equivariant Models of Spherical Varieties and Other G-varieties. / Borovoi, Mikhail; Gagliardi, Giuliano Claudio.
In: International Mathematics Research Notices, Vol. 2022, No. 20, 10.2022, p. 15932–16034.

Research output: Contribution to journalArticleResearchpeer review

Borovoi M, Gagliardi GC. Existence of Equivariant Models of Spherical Varieties and Other G-varieties. International Mathematics Research Notices. 2022 Oct;2022(20):15932–16034. Epub 2021 Jul 10. doi: 10.48550/arXiv.1810.08960, 10.1093/imrn/rnab102
Borovoi, Mikhail ; Gagliardi, Giuliano Claudio. / Existence of Equivariant Models of Spherical Varieties and Other G-varieties. In: International Mathematics Research Notices. 2022 ; Vol. 2022, No. 20. pp. 15932–16034.
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