The main conjecture of Iwasawa theory for elliptic curves with complex multiplication over abelian extensions at supersingular primes

被引：2

作者：

Du Kim, Byoung ^{[1
]}

Park, Jeehoon ^{[2
]}

机构：

[1] Victoria Univ Wellington, Sch Math & Stat, Wellington 6140, New Zealand

[2] Pohang Univ Sci & Technol, Dept Math, 77 Cheongam Ro, Pohang 37673, Gyeongbuk, South Korea

来源：

ACTA ARITHMETICA | 2017年 / 181卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Iwasawa theory; elliptic curves; complex multiplication; main conjecture; SWINNERTON-DYER; FORMAL GROUPS; FIELDS; BIRCH; VARIETIES;

D O I：

10.4064/aa8606-8-2017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：209 / 238

页数：30

共 32 条

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[2] The anticyclotomic main conjecture for elliptic curves at supersingular primes
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[3] Iwasawa Theory of elliptic curves at sup ersingular primes over higher rank Iwasawa extensions
Kim, Byoung Du
JOURNAL OF NUMBER THEORY, 2025, 271 : 189 - 215
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[5] Some remarks on the two-variable main conjecture of Iwasawa theory for elliptic curves without complex multiplication
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[10] The parity conjecture for elliptic curves at supersingular reduction primes
Kim, Byoung Du B. D.
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