The Picard group of Brauer-Severi varieties
In this paper, we provide explicit generators for the Picard groups of cyclic Brauer-Severi varieties defined over the base field. In particular,we provide such generators for all Brauer-Severi surfaces. To produce these generators we use the theory of twists of smooth plane curves.
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2018-10-01
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Series: | Open Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1515/math-2018-0101 |