DESCENT ON ELLIPTIC CURVES AND HILBERT'S TENTH PROBLEM

被引：0

作者：

Eisentraeger, Kirsten ^{[1
]}

Everest, Graham ^{[2
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 06期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

Elliptic curve; elliptic divisibility sequence; Hilbert's Tenth Problem; isogeny; primitive divisor; S-integers; undecidability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Descent via an isogeny on an elliptic curve is used to construct two subrings of the. field of rational numbers, which are complementary in a strong sense, and for which Hilbert's Tenth Problem is undecidable. This method further develops that of Poonen, who used elliptic divisibility sequences to obtain undecidability results for some large subrings of the rational numbers.

引用

页码：1951 / 1959

页数：9

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