© 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.
|Journal||Central European Journal of Mathematics|
|Publication status||Published - 1 Jan 2018|
- Brauer-Severi varieties
- Cyclic Algebras
- Picard groups
- Theory of Twists