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Global Divisibility of Heegner Points and Tamagawa Numbers

数论 2014-01-14 v1

摘要

We improve Kolyvagin's upper bound on the order of the pp-primary part of the Shafarevich-Tate group of an elliptic curve of rank one over a quadratic imaginary field. In many cases, our bound is precisely the one predicted by the Birch and Swinnerton-Dyer conjectural formula.

引用

@article{arxiv.math/0703431,
  title  = {Global Divisibility of Heegner Points and Tamagawa Numbers},
  author = {Dimitar P. Jetchev},
  journal= {arXiv preprint arXiv:math/0703431},
  year   = {2014}
}

备注

20 pages