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:
Online Access:https://doi.org/10.1515/math-2018-0101