EUDML | Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer

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Displaying similar documents to “Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer”

On the conjectures of Birch and Swinnerton-Dyer and a geometric analog

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Let $X$ be an algebraic variety defined over a field $k$ of characteristic $0$ , and let $Y$ be an $X$ -torsor under a torus. We compute the Brauer group of $Y$ . In the case of a number field $k$ we deduce results concerning the arithmetic of $X$ .