Universal Brauer-Severi varieties (2510.20474v1)

Published 23 Oct 2025 in math.AG

Abstract: We construct universal Brauer-Severi varieties of fixed period and index and study their geometry. We determine their cohomology and their Brauer and Picard groups and show that they are almost always simply connected. As an application, we reinterpret the discriminant avoidance result of de Jong and Starr in terms of universal Brauer-Severi varieties.

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