ON THE SELMER GROUP OF A CERTAIN p-ADIC LIE EXTENSION

被引：0

作者：

Bhave, Amala ^{[1
]}

Bora, Lachit ^{[1
]}

机构：

[1] Jawaharlal Nehru Univ, Sch Phys Sci, New Delhi 110067, India

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2019年 / 100卷 / 02期

关键词：

elliptic curve; anticyclotomic extension; Galois group; Iwasawa module; Selmer group; ABELIAN VARIETIES; RATIONAL POINTS; VALUES;

D O I：

10.1017/S0004972719000108

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be an elliptic curve over Q without complex multiplication. Let p >= 5 be a prime in Q and suppose that E has good ordinary reduction at p. We study the dual Selmer group of E over the compositum of the GL(2) extension and the anticyclotomic Z(p)-extension of an imaginary quadratic extension as an Iwasawa module.

引用

页码：245 / 255

页数：11

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