The Picard group of Brauer-Severi varieties

Eslam Badr; Francesc Bars; Elisa Lorenzo García

doi:10.1515/math-2018-0101

The Picard group of Brauer-Severi varieties

Eslam Badr, Francesc Bars, Elisa Lorenzo García

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

© 2018 Badr et al., published by De Gruyter. 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.

Original language	English
Pages (from-to)	1196-1203
Journal	Open Mathematics
Volume	16
Issue number	1
DOIs	https://doi.org/10.1515/math-2018-0101
Publication status	Published - 1 Jan 2018

Keywords

Automorphisms
Brauer-Severi varieties
Cyclic Algebras
Picard groups
Theory of Twists

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title = "The Picard group of Brauer-Severi varieties",

abstract = "{\textcopyright} 2018 Badr et al., published by De Gruyter. 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.",

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AB - © 2018 Badr et al., published by De Gruyter. 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.

KW - Automorphisms

KW - Brauer-Severi varieties

KW - Cyclic Algebras

KW - Picard groups

KW - Theory of Twists

U2 - 10.1515/math-2018-0101

DO - 10.1515/math-2018-0101

M3 - Article

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EP - 1203

JO - Open Mathematics

JF - Open Mathematics

SN - 1895-1074

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