Higher Heegner points on elliptic curves over function fields

被引：7
|
作者：
Breuer, F [1 ]
机构：
[1] Natl Tsing Hua Univ, Natl Ctr Theoret Sci, Div Math, Hsinchu 300, Taiwan
来源：
JOURNAL OF NUMBER THEORY | 2004年 / 104卷 / 02期
关键词：
elliptic curves; Heegner points; Drinfeld modular curves;
D O I：
10.1016/j.jnt.2003.09.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let E be a modular elliptic curve defined over a rational function field k of odd characteristic. We construct a sequence of Heegner points on E, defined over a Z(p)(infinity)-tower of finite extensions of k, and show that these Heegner points generate a group of infinite rank. This is a function field analogue of a result of Cornut and Vatsal. (C) 2003 Elsevier Inc. All rights reserved.
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页码：315 / 326
页数：12
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