Enriques Involutions and Brauer Classes

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

Autoren

  • A. N. Skorobogatov
  • D. Valloni

Organisationseinheiten

Externe Organisationen

  • Imperial College London
  • Russian Academy of Sciences (RAS)
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Details

OriginalspracheEnglisch
Seiten (von - bis)606-621
Seitenumfang16
FachzeitschriftNagoya mathematical journal
Jahrgang251
Frühes Online-Datum13 Dez. 2022
PublikationsstatusVeröffentlicht - Sept. 2023

Abstract

We prove that every element of order 2 in the Brauer group of a complex Kummer surface X descends to an Enriques quotient of X. In generic cases, this gives a bijection between the set of Enriques quotients of X up to isomorphism and the set of Brauer classes of X of order 2. For some K3 surfaces of Picard rank we prove that the fibers of above the nonzero points have the same cardinality.

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Enriques Involutions and Brauer Classes. / Skorobogatov, A. N.; Valloni, D.
in: Nagoya mathematical journal, Jahrgang 251, 09.2023, S. 606-621.

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

Skorobogatov AN, Valloni D. Enriques Involutions and Brauer Classes. Nagoya mathematical journal. 2023 Sep;251:606-621. Epub 2022 Dez 13. doi: 10.48550/arXiv.2202.08030, 10.1017/nmj.2022.43
Skorobogatov, A. N. ; Valloni, D. / Enriques Involutions and Brauer Classes. in: Nagoya mathematical journal. 2023 ; Jahrgang 251. S. 606-621.
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