Computing Local p-adic Height Pairings on Hyperelliptic Curves

被引：16

作者：

Balakrishnan, Jennifer S. ^{[2
]}

Besser, Amnon ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[2] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2012年 / 2012卷 / 11期

基金：

以色列科学基金会;

关键词：

REGULATORS;

D O I：

10.1093/imrn/rnr111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe an algorithm to compute the local component, at a prime above the prime p, of the Coleman-Gross p-adic height pairing on degree 0 divisors on hyperelliptic curves. As the height pairing is given in terms of a Coleman integral, we also provide new techniques to evaluate Coleman integrals of meromorphic differentials and present our algorithms as implemented in Sage.

引用

页码：2405 / 2444

页数：40

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