Geodesic
On Unramified Brauer Groups of Torsors over Tori
Documenta mathematica, Tome 25 (2020), pp. 1263-1284
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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.
DOI : 10.4171/dm/776
Classification : 11G35, 12G05, 14G05, 14G25
Mots-clés : unramified Brauer groups, Tate-Shafarevich groups, Hasse principle and weak approximation, norm tori 
@article{10_4171_dm_776,
     author = {Eva Bayer-Fluckiger and Raman Parimala},
     title = {On {Unramified} {Brauer} {Groups} of {Torsors} over {Tori}},
     journal = {Documenta mathematica},
     pages = {1263--1284},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/776},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/776/}
}
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Eva Bayer-Fluckiger; Raman Parimala. On Unramified Brauer Groups of Torsors over Tori. Documenta mathematica, Tome 25 (2020), pp. 1263-1284. doi: 10.4171/dm/776

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