Comparing the corank of fine Selmer group and Selmer group of elliptic curves

被引:0
|
作者
Shekhar, Sudhanshu [1 ]
机构
[1] IIT Kanpur, Dept Math & Stat, Kanpur, Uttar Pradesh, India
关键词
IWASAWA THEORY;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let p be an odd prime, K-infinity be a pro-p, p-adic Lie extension of K = Q(mu(p)) of dimension two containing the cyclotomic Z(p)-extension K-infinity, of K and H be the Galois group of K-infinity /K-cyc. Let Lambda (H) be the Iwasawa algebra over H. Given an elliptic curve E defined over Q with good and supersingular reduction at p, we compare the Lambda(H)-corank of the fine Selmer group of E over K-infinity with the Iwasawa lambda-invariant of the +/--Selmer group of E over K-cyc. Using this, we find examples of elliptic curves defined over Q with good and supersingular reduction at p satisfying pseudo nullity conjecture over K-infinity
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页码:205 / 217
页数:13
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