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?
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页码：141 / 147
页数：7
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