Details
| Original language | English |
|---|---|
| Pages (from-to) | 105-113 |
| Number of pages | 9 |
| Journal | Journal of algebra |
| Volume | 589 |
| Early online date | 1 Oct 2021 |
| Publication status | Published - 1 Jan 2022 |
| Externally published | Yes |
Abstract
We give an explicit way to construct a Brauer-Severi variety corresponding to the sum of the two Brauer classes that split by a common Galois extension. We apply the result to explicitly calculate the components of Picard schemes for stable curves with geometrically rational components.
Keywords
- Addition, Brauer-Severi varieties
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 589, 01.01.2022, p. 105-113.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Addition of Brauer classes via Picard schemes
AU - Ma, Qixiao
N1 - Publisher Copyright: © 2021
PY - 2022/1/1
Y1 - 2022/1/1
N2 - We give an explicit way to construct a Brauer-Severi variety corresponding to the sum of the two Brauer classes that split by a common Galois extension. We apply the result to explicitly calculate the components of Picard schemes for stable curves with geometrically rational components.
AB - We give an explicit way to construct a Brauer-Severi variety corresponding to the sum of the two Brauer classes that split by a common Galois extension. We apply the result to explicitly calculate the components of Picard schemes for stable curves with geometrically rational components.
KW - Addition
KW - Brauer-Severi varieties
UR - http://www.scopus.com/inward/record.url?scp=85116426347&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2021.08.029
DO - 10.1016/j.jalgebra.2021.08.029
M3 - Article
AN - SCOPUS:85116426347
VL - 589
SP - 105
EP - 113
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
ER -