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arXiv · 2510.20474

Universal Brauer-Severi varieties

Frank Gounelas·Daniel Huybrechts
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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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Frank Gounelas, Daniel Huybrechts. 2025-10-23. Universal Brauer-Severi varieties. https://arxiv.org/abs/2510.20474

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