Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer
W. J. Gordon (1979)
Compositio Mathematica
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Displaying similar documents to “On the conjectures of Birch and Swinnerton-Dyer and a geometric analog”
Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer
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In this paper, we generalize the context of the Mazur-Tate conjecture and sharpen, in a certain way, the statement of the conjecture. Our main result will be to establish the truth of a part of these new sharpened conjectures, provided that one assume the truth of the classical Birch and Swinnerton-Dyer conjectures. This is particularly striking in the function field case, where these results can be viewed as being a refinement of the earlier work of Tate and Milne.
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