Invariant Brauer group of an abelian variety

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

Autoren

  • Martin Orr
  • Alexei N. Skorobogatov
  • Domenico Valloni
  • Yuri G. Zarhin

Organisationseinheiten

Externe Organisationen

  • University of Manchester
  • Imperial College London
  • Russian Academy of Sciences (RAS)
  • Pennsylvania State University
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Details

OriginalspracheEnglisch
Seiten (von - bis)695-733
Seitenumfang39
FachzeitschriftIsrael journal of mathematics
Jahrgang249
Ausgabenummer2
Frühes Online-Datum29 Juni 2022
PublikationsstatusVeröffentlicht - Juni 2022

Abstract

We study a new object that can be attached to an abelian variety or a complex torus: the invariant Brauer group, as recently defined by Yang Cao. Over the field of complex numbers this is an elementary abelian 2-group with an explicit upper bound on the rank. We exhibit many cases in which the invariant Brauer group is zero, and construct complex abelian varieties in every dimension starting with 2, both simple and non-simple, with invariant Brauer group of order 2. We also address the situation in finite characteristic and over non-closed fields.

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Invariant Brauer group of an abelian variety. / Orr, Martin; Skorobogatov, Alexei N.; Valloni, Domenico et al.
in: Israel journal of mathematics, Jahrgang 249, Nr. 2, 06.2022, S. 695-733.

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

Orr M, Skorobogatov AN, Valloni D, Zarhin YG. Invariant Brauer group of an abelian variety. Israel journal of mathematics. 2022 Jun;249(2):695-733. Epub 2022 Jun 29. doi: 10.48550/arXiv.2007.05473, 10.1007/s11856-022-2323-5
Orr, Martin ; Skorobogatov, Alexei N. ; Valloni, Domenico et al. / Invariant Brauer group of an abelian variety. in: Israel journal of mathematics. 2022 ; Jahrgang 249, Nr. 2. S. 695-733.
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