The Picard group of Brauer-Severi varieties

Eslam Badr, Francesc Bars, Elisa Lorenzo García

Research output: Contribution to journalArticleResearchpeer-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 languageEnglish
Pages (from-to)1196-1203
JournalOpen Mathematics
Volume16
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

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

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