The Picard Group of Brauer-Severi Varieties
Number Theory
2017-07-03 v1
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.
Keywords
Cite
@article{arxiv.1706.10093,
title = {The Picard Group of Brauer-Severi Varieties},
author = {Eslam Badr and Francesc Bars and Elisa Lorenzo Garcia},
journal= {arXiv preprint arXiv:1706.10093},
year = {2017}
}