Classifying torsors of tori with Brauer groups
Algebraic Geometry
2025-09-12 v2 Number Theory
Representation Theory
Abstract
Using Mackey functors, we provide a general framework for classifying torsors of algebraic tori in terms of Brauer groups of finite field extensions of the base field. This generalizes Blunk's description of the tori associated to del Pezzo surfaces of degree 6 to all retract rational tori, essentially the largest class for which this is possible.
Cite
@article{arxiv.2505.10386,
title = {Classifying torsors of tori with Brauer groups},
author = {Alexander Duncan and Pankaj Singh},
journal= {arXiv preprint arXiv:2505.10386},
year = {2025}
}
Comments
21 pages; comments welcome; v2: minor edits