Universal Brauer-Severi varieties
Algebraic Geometry
2025-11-25 v2
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.
Cite
@article{arxiv.2510.20474,
title = {Universal Brauer-Severi varieties},
author = {Frank Gounelas and Daniel Huybrechts},
journal= {arXiv preprint arXiv:2510.20474},
year = {2025}
}
Comments
33 pages, some typos corrected, reference to work of Uriya First added