Counting rational points on cubic curves

被引：0
|
作者：
Roger Heath-Brown
Damiano Testa
机构：
[1] University of Oxford,Mathematical Institute
来源：
Science China Mathematics | 2010年 / 53卷
关键词：
cubic curves; rational points; counting function; elliptic curves; determinant method; -descent; 11D25; 11D45; 11G05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove upper bounds for the number of rational points on non-singular cubic curves defined over the rationals. The bounds are uniform in the curve and involve the rank of the corresponding Jacobian. The method used in the proof is a combination of the “determinant method” with an m-descent on the curve.
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页码：2259 / 2268
页数：9
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