Picard schemes of noncommutative bielliptic surfaces

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Fabian Reede

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Details

OriginalspracheEnglisch
Seiten (von - bis)61-70
Seitenumfang10
FachzeitschriftAbhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Jahrgang93
Ausgabenummer1
Frühes Online-Datum14 Feb. 2023
PublikationsstatusVeröffentlicht - Apr. 2023

Abstract

We study the nontrivial elements in the Brauer group of a bielliptic surface and show that they can be realized as Azumaya algebras with a simple structure at the generic point of the surface. We go on to study some properties of the noncommutative Picard scheme associated to such an Azumaya algebra.

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Picard schemes of noncommutative bielliptic surfaces. / Reede, Fabian.
in: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, Jahrgang 93, Nr. 1, 04.2023, S. 61-70.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Reede F. Picard schemes of noncommutative bielliptic surfaces. Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg. 2023 Apr;93(1):61-70. Epub 2023 Feb 14. doi: 10.48550/arXiv.2204.13646, 10.1007/s12188-023-00265-x
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