Details
| Original language | English |
|---|---|
| Pages (from-to) | 61-70 |
| Number of pages | 10 |
| Journal | Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg |
| Volume | 93 |
| Issue number | 1 |
| Early online date | 14 Feb 2023 |
| Publication status | Published - 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.
Keywords
- Azumaya algebras, Bielliptic surfaces, Moduli schemes of sheaves
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, Vol. 93, No. 1, 04.2023, p. 61-70.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Picard schemes of noncommutative bielliptic surfaces
AU - Reede, Fabian
N1 - Open Access funding enabled and organized by Projekt DEAL.
PY - 2023/4
Y1 - 2023/4
N2 - 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.
AB - 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.
KW - Azumaya algebras
KW - Bielliptic surfaces
KW - Moduli schemes of sheaves
UR - http://www.scopus.com/inward/record.url?scp=85148110213&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2204.13646
DO - 10.48550/arXiv.2204.13646
M3 - Article
AN - SCOPUS:85148110213
VL - 93
SP - 61
EP - 70
JO - Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
JF - Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
SN - 0025-5858
IS - 1
ER -