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Euler systems and refined conjectures of Birch Swinnerton-Dyer type

Euler systems and refined conjectures of Birch Swinnerton-Dyer type

The relationship between arithmetic objects (such as global fields, or varieties over global fields) and the analytic properties of their Lfunctions poses many deep and difficult questions.The theme of this paper is the Birch and Swinnerton Dyer conjecture, and certain refinements that were proposed by Mazur and Tate.We will formulate …