Picard schemes of noncommutative bielliptic surfaces

Picard schemes of noncommutative bielliptic surfaces

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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Veröffentlicht in:Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2023-04, Vol.93 (1), p.61-70
1. Verfasser: Reede, Fabian
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Differential Geometry
Geometry
Mathematics
Mathematics and Statistics
Number Theory
Topology
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Zusammenfassung: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.
ISSN:0025-5858
1865-8784
DOI:10.1007/s12188-023-00265-x