A NOTE ON THE ARITHMETIC OF AN ELLIPTIC CURVE OVER ZP-EXTENSIONS

被引：0

作者：

RAMAROSON, F ^{[1
]}

机构：

[1] HOWARD UNIV, DEPT MATH, WASHINGTON, DC 20059 USA

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 1987年 / 63卷 / 08期

关键词：

D O I：

10.3792/pjaa.63.318

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：318 / 319

页数：2

共 50 条

[1] ELLIPTIC-CURVES AND ZP-EXTENSIONS
RUBIN, K
[J]. COMPOSITIO MATHEMATICA, 1985, 56 (02) : 237 - 250
[2] Index of elliptic units in Zp-extensions
Oukhaba, Hassan
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2007, 135 (02): : 299 - 322
[3] Torsion groups of elliptic curves over the Zp-extensions of Q
Chou, Michael
Daniels, Harris B.
Krijan, Ivan
Najman, Filip
[J]. NEW YORK JOURNAL OF MATHEMATICS, 2021, 27 : 99 - 123
[4] THE INDEX OF ELLIPTIC UNITS IN Zp-EXTENSIONS, II
Oukhaba, Hassan
[J]. TOHOKU MATHEMATICAL JOURNAL, 2009, 61 (02) : 253 - 265
[5] ON THE ARITHMETIC OF AN ELLIPTIC CURVE OVER A ZP-EXTENSION
RAMAROSON, F
[J]. ACTA ARITHMETICA, 1990, 55 (01) : 23 - 28
[6] Iwasawa's main conjecture for elliptic curves over anticyclotomic Zp-extensions
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Darmon, H
[J]. ANNALS OF MATHEMATICS, 2005, 162 (01) : 1 - 64
[7] A note on the growth of Mordell-Weil ranks of elliptic curves in cyclotomic Zp-extensions
Matsuno, K
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2003, 79 (05) : 101 - 104
[8] On asymptotic Fermat over Zp-extensions of Q
Freitas, Nuno
Kraus, Alain
Siksek, Samir
[J]. ALGEBRA & NUMBER THEORY, 2020, 14 (09) : 2571 - 2574
[9] Zp-extensions associated to elliptic curves with complex multiplication
Fukuda, T
Komatsu, K
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2004, 137 : 541 - 550
[10] Iwasawa theory of elliptic curves at supersingular primes over Zp-extensions of number fields
Iovita, Adrian
Pollack, Robert
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 598 : 71 - 103

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