The Picard Group of Brauer-Severi Varieties

Abstract : In this note we provide explicit generators of the Picard groups of cyclic Brauer-Severi varieties defined over the base field. In particular, for all Brauer-Severi surfaces. To produce these generators we use the Twisting Theory for smooth plane curves.
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Contributor : Marie-Annick Guillemer <>
Submitted on : Wednesday, October 18, 2017 - 2:58:13 PM
Last modification on : Thursday, November 15, 2018 - 11:56:48 AM

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  • HAL Id : hal-01618783, version 1
  • ARXIV : 1706.10093


Eslam Badr, Francesc Bars, Elisa Lorenzo Garcia. The Picard Group of Brauer-Severi Varieties. Open Mathematics Journal, Bentham Open, 2018, 16 (1), pp.1196-1203. ⟨hal-01618783⟩



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