The Picard group of Brauer-Severi varieties

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.

Bibliographic Details
Main Authors: Badr Eslam, Bars Francesc, García Elisa Lorenzo
Format: Article
Language:English
Published: De Gruyter 2018-10-01
Series:Open Mathematics
Subjects:
brauer-severi varieties
picard groups
cyclic algebras
theory of twists
automorphisms
11g35
14j26
11d41
14j50
14j70
11r34
Online Access:https://doi.org/10.1515/math-2018-0101
Description
Summary: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.
ISSN:2391-5455

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