On Unramified Brauer Groups of Torsors over Tori

Eva Bayer-Fluckiger; Raman Parimala

doi:10.4171/dm/776

JournalsdmVol. 25pp. 1263–1284

On Unramified Brauer Groups of Torsors over Tori

Eva Bayer-Fluckiger
EPFL-FSB-MATH, Station 8, 1015 Lausanne, Switzerland
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- zbMATH Open
Raman Parimala
Department of Mathematics, Emory University, 400 Dowman Drive NE, Atlanta, GA 30322, USA
- MathSciNet
- zbMATH Open

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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 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. 1263–1284

DOI 10.4171/DM/776