THE p-ADIC GROSS-ZAGIER FORMULA ON SHIMURA CURVES, II: NONSPLIT PRIMES

被引：5
|
作者：
Disegni, Daniel [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2023年 / 22卷 / 05期
关键词：
Heegner points; p-adic heights; p-adic L-functions; HEEGNER POINTS; ELLIPTIC-CURVES; DERIVATIVES; HEIGHTS; BIRCH;
D O I：
10.1017/S1474748021000608
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The formula of the title relates p-adic heights of Heegner points and derivatives of p-adic L-functions. It was originally proved by Perrin-Riou for p-ordinary elliptic curves over the rationals, under the assumption that p splits in the relevant quadratic extension. We remove this assumption, in the more general setting of Hilbert-modular abelian varieties.
引用
收藏
页码：2199 / 2240
页数：42
相关论文
共 50 条
12345