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

页码：2199 / 2240

页数：42

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