On unramified Brauer groups of torsors over tori

Abstract

In this paper we introduce a method to obtain algebraic information using arithmetic one in the study of tori and their principal homogeneous spaces. In particular, using some results of the authors with Tingyu Lee, we determine the unramified Brauer groups of some norm one tori, and their torsors.

arXiv commentMinor changes. To appear in Documenta Math