Refined Theorems of the Birch and Swinnerton-Dyer Type
Journal
Annales De L Institut Fourier
Journal Volume
45
Journal Issue
2
Pages
317-374
Date Issued
1995
Author(s)
Tan, Ks
Abstract
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.
Type
journal article