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The Picard Group of Brauer-Severi Varieties (1706.10093v1)
Published 30 Jun 2017 in math.NT
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.