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Brauer groups of torsors under algebraic tori
Published 8 Aug 2016 in math.NT | (1608.02322v3)
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 ad\'{e}le class group of $T$ as well as to the Shafarevich Tate group of $T$.
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