Classifying torsors of tori with Brauer groups
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Finite Group Theory Research
Geometric and Algebraic Topology
Publication details
- Journal / source
- Journal of Pure and Applied Algebra
- Volume
- 230
- Issue
- 9
- Pages
- 108325–108325
- Publication date
- 11 June 2026
- Language
- EN