On Unramified Brauer Groups of Torsors over Tori
Eva Bayer-FluckigerEPFL-FSB-MATH, Station 8, 1015 Lausanne, Switzerland
Raman ParimalaDepartment of Mathematics, Emory University, 400 Dowman Drive NE, Atlanta, GA 30322, USA
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 Ting-Yu Lee, we determine the unramified Brauer groups of some norm one tori, and their torsors.
Cite this article
Eva Bayer-Fluckiger, Raman Parimala, On Unramified Brauer Groups of Torsors over Tori. Doc. Math. 25 (2020), pp. 1263–1284DOI 10.4171/DM/776