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math.NT2017
The Picard Group of Brauer-Severi Varieties
Eslam Badr, Francesc Bars, Elisa Lorenzo Garcia
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 pr…
math.NT2017
Plane model-fields of definition, fields of definition, the field of moduli of smooth plane curves
Eslam Badr, Francesc Bars
Given a smooth plane curve of genus over an algebraically closed field , a field is said to be a \emph{plane model-f…