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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Mikhail Borovoi
  • Giuliano Claudio Gagliardi

Organisationseinheiten

Externe Organisationen

  • Tel Aviv University
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Details

OriginalspracheEnglisch
Seiten (von - bis)15932–16034
Seitenumfang103
FachzeitschriftInternational Mathematics Research Notices
Jahrgang2022
Ausgabenummer20
Frühes Online-Datum10 Juli 2021
PublikationsstatusVeröffentlicht - Okt. 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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Existence of Equivariant Models of Spherical Varieties and Other G-varieties. / Borovoi, Mikhail; Gagliardi, Giuliano Claudio.
in: International Mathematics Research Notices, Jahrgang 2022, Nr. 20, 10.2022, S. 15932–16034.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Borovoi M, Gagliardi GC. Existence of Equivariant Models of Spherical Varieties and Other G-varieties. International Mathematics Research Notices. 2022 Okt;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 ; Jahrgang 2022, Nr. 20. S. 15932–16034.
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