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

共 50 条

[41] ON THE TATE-SHAFAREVICH GROUP OF ELLIPTIC CURVES OVER Q
Kim, Dohyeong
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (01) : 155 - 163
[42] HYPERGEOMETRIC FUNCTIONS OVER Fq AND TRACES OF FROBENIUS FOR ELLIPTIC CURVES
Barman, Rupam
Kalita, Gautam
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (10) : 3403 - 3410
[43] PRIME NUMBER RACES FOR ELLIPTIC CURVES OVER FUNCTION FIELDS
Cha, Byungchul
Fiorilli, Daniel
Jouve, Florent
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2016, 49 (05): : 1239 - 1277
[44] Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions
Delbourgo, Daniel
Lei, Antonio
RAMANUJAN JOURNAL, 2017, 43 (01) : 29 - 68
[45] HYPERGEOMETRIC FUNCTIONS OVER Fp AND RELATIONS TO ELLIPTIC CURVES AND MODULAR FORMS
Fuselier, Jenny C.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (01) : 109 - 123
[46] Darmon points on elliptic curves over number fields of arbitrary signature
Guitart, Xavier
Masdeu, Marc
Senguen, Mehmet Haluk
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2015, 111 : 484 - 518
[47] Parity conjectures for elliptic curves over global fields of positive characteristic
Trihan, Fabien
Wuthrich, Christian
COMPOSITIO MATHEMATICA, 2011, 147 (04) : 1105 - 1128
[48] On the 2-adic valuations of central L-values of elliptic curves
Choi, Junhwa
JOURNAL OF NUMBER THEORY, 2019, 204 : 405 - 422
[49] 2-SELMER GROUPS, 2-CLASS GROUPS AND RATIONAL POINTS ON ELLIPTIC CURVES
Li, Chao
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (07) : 4631 - 4653
[50] Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves
Kalita, Gautam
Azharuddin, Shaik
FINITE FIELDS AND THEIR APPLICATIONS, 2023, 92

← 1 2 3 4 5 →