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arxiv: 1706.10093 · v1 · pith:6EEQJOLYnew · submitted 2017-06-30 · 🧮 math.NT

The Picard Group of Brauer-Severi Varieties

classification 🧮 math.NT
keywords brauer-severigeneratorspicardvarietiesbasecurvescyclicdefined
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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.

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