TY - JOUR
T1 - The Picard group of Brauer-Severi varieties
AU - Badr, Eslam
AU - Bars, Francesc
AU - García, Elisa Lorenzo
PY - 2018/1/1
Y1 - 2018/1/1
N2 - © 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.
AB - © 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.
KW - Automorphisms
KW - Brauer-Severi varieties
KW - Cyclic Algebras
KW - Picard groups
KW - Theory of Twists
U2 - 10.1515/math-2018-0101
DO - 10.1515/math-2018-0101
M3 - Article
SN - 1895-1074
VL - 16
SP - 1196
EP - 1203
JO - Central European Journal of Mathematics
JF - Central European Journal of Mathematics
IS - 1
ER -