Jumps in Mordell-Weil rank and arithmetic surjectivity

被引：0

作者：

Graber, T ^{[1
]}

Harris, J ^{[1
]}

Mazur, B ^{[1
]}

Starr, J ^{[1
]}

机构：

[1] Univ Calif Berkeley, Berkeley, CA 94720 USA

来源：

ARITHMETIC OF HIGHER-DIMENSIONAL ALGEBRAIC VARIETIES | 2004年 / 226卷

关键词：

Elliptic curves; Mordell-Weil rank; families of curves of genus one; sections;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We ask the question: If a pencil of curves of genus one defined over Q admits no section, can we find a number field L/Q and a member of that pencil defined over L having no L-rational points?

引用

页码：141 / 147

页数：7

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