RANKS OF ELLIPTIC CURVES OVER Zp2-EXTENSIONS

被引：0

作者：

Lei, Antonio ^{[1
]}

Sprung, Florian ^{[2
]}

机构：

[1] Univ Laval, Dept Math & Stat, Pavillon Alexandre Vachon,1045 Ave Med, Quebec City, PQ G1V 0A6, Canada

[2] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85287 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2020年 / 236卷 / 01期

关键词：

IWASAWA THEORY; SELMER GROUPS; HEEGNER POINTS; CONJECTURE; GROWTH; VALUES;

D O I：

10.1007/s11856-020-1969-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be an elliptic curve with good reduction at a fixed odd prime p and K an imaginary quadratic field where p splits. We give a growth estimate for the Mordell-Weil rank of E over finite extensions inside the DOUBLE-STRUCK CAPITAL Z(p)(2)-extension of K.

引用

页码：183 / 206

页数：24

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