Brauer groups of torsors under algebraic tori

2016/08/08 by Saikat Biswas, Biswas, Saikat
Mathematics · #11E72 #11R37 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11E72 #msc:11R37

paper · pdf · doi:10.48550/arxiv.1608.02322

13 pages; Revised and updated

openalex publication_date 2016/08/08 · arxiv created 2017/06/28 · arxiv updated 2017/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let T be an algebraic torus defined over a global field K. For any K-torsor X under T, we relate the Brauer group of X to the adéle class group of T as well as to the Shafarevich Tate group of T.

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