Geodesic
On Unramified Brauer Groups of Torsors over Tori
Documenta mathematica, Tome 25 (2020), pp. 1263-1284.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 11G35, 12G05, 14G05, 14G25
Keywords: unramified Brauer groups, Tate-Shafarevich groups, Hasse principle and weak approximation, norm tori 
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     title = {On {Unramified} {Brauer} {Groups} of {Torsors} over {Tori}},
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Bayer-Fluckiger, Eva; Parimala, Raman. On Unramified Brauer Groups of Torsors over Tori. Documenta mathematica, Tome 25 (2020), pp. 1263-1284. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a31/