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
收藏
页码：209 / 238
页数：30
相关论文
共 50 条
  • [21] ON THE NON-COMMUTATIVE MAIN CONJECTURE FOR ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION
    Bouganis, Thanasis
    Venjakob, Otmar
    ASIAN JOURNAL OF MATHEMATICS, 2010, 14 (03) : 385 - 416
  • [22] SOME REMARKS ON THE MAIN CONJECTURE FOR ELLIPTIC-CURVES WITH COMPLEX MULTIPLICATION
    COATES, J
    GOLDSTEIN, C
    AMERICAN JOURNAL OF MATHEMATICS, 1983, 105 (02) : 337 - 366
  • [23] Extremal primes for elliptic curves with complex multiplication
    James, Kevin
    Pollack, Paul
    JOURNAL OF NUMBER THEORY, 2017, 172 : 383 - 391
  • [24] CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION
    Lei, Antonio
    Palvannan, Bharathwaj
    FORUM OF MATHEMATICS SIGMA, 2019, 7
  • [25] NOTE ON SUPERSINGULAR PRIMES OF ELLIPTIC-CURVES OVER Q
    BROWN, ML
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1988, 20 : 293 - 296
  • [26] On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes
    Francesc Castella
    Giada Grossi
    Jaehoon Lee
    Christopher Skinner
    Inventiones mathematicae, 2022, 227 : 517 - 580
  • [27] On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes
    Castella, Francesc
    Grossi, Giada
    Lee, Jaehoon
    Skinner, Christopher
    INVENTIONES MATHEMATICAE, 2022, 227 (02) : 517 - 580
  • [28] The GL2 main conjecture for elliptic curves without complex multiplication
    Coates, J
    Fukaya, T
    Kato, K
    Sujatha, R
    Venjakob, O
    PUBLICATIONS MATHEMATIQUES DE L'IHES, NO 101, 2005, 101 (101): : 163 - 208
  • [29] The GL2 Main Conjecture for Elliptic Curves without Complex Multiplication
    John Coates
    Takako Fukaya
    Kazuya Kato
    Ramdorai Sujatha
    Otmar Venjakob
    Publications mathématiques de l'IHÉS, 2005, 101 : 163 - 208
  • [30] Fragments of the GL2 Iwasawa theory of elliptic curves without complex multiplication
    Coates, J
    ARITHMETIC THEORY OF ELLIPTIC CURVES, 1999, 1716 : 1 - 50
12345