This article begins with a description of the basic problems in the arithmetic theory of elliptic curves, which motivate the statement of the Birch and Swinnerton-Dyer conjecture. It then gives an account of recent results on the subject.

Report on the Birch and Swinnerton-Dyer conjecture / M. Bertolini. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - 78:1(2010), pp. 153-178. [10.1007/s00032-010-0123-6]

Report on the Birch and Swinnerton-Dyer conjecture

M. Bertolini
2010

Abstract

This article begins with a description of the basic problems in the arithmetic theory of elliptic curves, which motivate the statement of the Birch and Swinnerton-Dyer conjecture. It then gives an account of recent results on the subject.
Elliptic curves; L-series; Main conjectures of iwasawa theory; P-adic l-functions; Shafarevich-Tate groups
Settore MAT/03 - Geometria
2010
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/147493
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