Description |
Abstract - Let E be an elliptic curve over the rationals with conductor N. We plan to describe certain `rank one' aspects of arithmetic of E and the associated p-adic Beilinson--Kato elements (BK) for a prime p. This includes proof of Perrin-Riou conjecture for BK (in the case (p,2N)=1) and a (new) proof of a theorem of Gross--Zagier, Kolyvagin. Joint with Christopher Skinner and Ye Tian. |