Most elliptic curves over global function fields are torsion free

被引：0

|

作者：

Phillips, Tristan ^{[1
]}

机构：

[1] Univ Arizona, Dept Math, 617 N Santa Rita Ave, Tucson, AZ 85721 USA

来源：

ACTA ARITHMETICA | 2022年 / 202卷 / 01期

关键词：

elliptic curves; torsion points; Galois representations; sieve meth-ods; global function fields; THEOREM; POINTS;

D O I：

10.4064/aa210108-23-8

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：21 / 28

页数：8

相关论文

共 50 条

[41] TORSION POINTS ON ELLIPTIC-CURVES OVER ALL QUADRATIC FIELDS
KAMIENNY, S
DUKE MATHEMATICAL JOURNAL, 1986, 53 (01) : 157 - 162
[42] TORSION POINTS ON ELLIPTIC-CURVES OVER FIELDS OF HIGHER DEGREE
KAMIENNY, S
DUKE MATHEMATICAL JOURNAL, 1992, 66 (03) : A129 - A133
[43] Torsion of rational elliptic curves over quartic Galois number fields
Chou, Michael
JOURNAL OF NUMBER THEORY, 2016, 160 : 603 - 628
[44] TORSION POINTS ON CM ELLIPTIC CURVES OVER REAL NUMBER FIELDS
Bourdon, Abbey
Clark, Pete L.
Stankewicz, James
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (12) : 8457 - 8496
[45] Structure of Tate-Shafarevich groups of elliptic curves over global function fields
Brown, M. L.
KYOTO JOURNAL OF MATHEMATICS, 2015, 55 (04) : 687 - 772
[46] Integral points on elliptic curves over function fields
Chi, WC
Lai, KF
Tan, KS
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 77 : 197 - 208
[47] The Manin constant of elliptic curves over function fields
Pal, Ambrus
ALGEBRA & NUMBER THEORY, 2010, 4 (05) : 509 - 545
[48] Elliptic curves with large rank over function fields
Ulmer, D
ANNALS OF MATHEMATICS, 2002, 155 (01) : 295 - 315
[49] CONTROL THEOREMS FOR ELLIPTIC CURVES OVER FUNCTION FIELDS
Bandini, A.
Longhi, I.
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2009, 5 (02) : 229 - 256
[50] On elliptic curves over function fields of characteristic two
Schweizer, A
JOURNAL OF NUMBER THEORY, 2001, 87 (01) : 31 - 53

← 1 2 3 4 5 →