COMPUTING INTEGRAL POINTS ON HYPERELLIPTIC CURVES USING QUADRATIC CHABAUTY

被引：13

作者：

Balakrishnan, Jennifer S. ^{[1
]}

Besser, Amnon ^{[2
]}

Mueller, J. Steffen ^{[3
]}

机构：

[1] Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England

[2] Ben Gurion Univ Negev, Dept Math, POB 653, IL-84105 Beer Sheva, Israel

[3] Carl von Ossietzky Univ Oldenburg, Inst Math, D-26111 Oldenburg, Germany

来源：

MATHEMATICS OF COMPUTATION | 2017年 / 86卷 / 305期

基金：

英国工程与自然科学研究理事会; 以色列科学基金会;

关键词：

BRAUER-MANIN OBSTRUCTION; RATIONAL-POINTS; HEIGHT CONSTANT; GENUS; JACOBIANS;

D O I：

10.1090/mcom/3130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a method for the computation of integral points on a hyperelliptic curve of odd degree over the rationals whose genus equals the Mordell-Weil rank of its Jacobian. Our approach consists of a combination of the p-adic approximation techniques introduced in previous work with the Mordell-Weil sieve.

引用

页码：1403 / 1434

页数：32

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