Modular curves with infinitely many cubic points

被引：6

作者：

Jeon, Daeyeol ^{[1
]}

机构：

[1] Kongju Natl Univ, Dept Math Educ, 56 Gongjudaehak Ro, Gongju Si 314701, Chungcheongnam, South Korea

来源：

基金：

新加坡国家研究基金会;

关键词：

Modular curve; Trigonal; Trielliptic; Cubic point; ABELIAN-VARIETIES;

D O I：

10.1016/j.jnt.2020.09.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：344 / 355

页数：12

共 16 条

[1] ABRAMOVICH D, 1991, COMPOS MATH, V78, P227
[2] [Anonymous], 1973, P S PURE MATH
[3] Bielliptic modular curves
Bars, F
[J]. JOURNAL OF NUMBER THEORY, 1999, 76 (01) : 154 - 165
[4] On quadratic points of classical modular curves
Bars, Francesc
[J]. NUMBER THEORY RELATED TO MODULAR CURVES: MOMOSE MEMORIAL VOLUME, 2018, 701 : 17 - 34
[5] Cremona J. E., 1997, Algorithms for Modular Elliptic Curves
[6] DEBARRE O, 1993, COMPOS MATH, V88, P235
[7] DIOPHANTINE APPROXIMATION ON ABELIAN-VARIETIES
FALTINGS, G
[J]. ANNALS OF MATHEMATICS, 1991, 133 (03) : 549 - 576
[8] Faltings G., 1994, PERSPECT MATH, V15, P175
[9] CURVES WITH INFINITELY MANY POINTS OF FIXED DEGREE
FREY, G
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1994, 85 (1-3) : 79 - 83
[10] BIELLIPTIC CURVES AND SYMMETRICAL PRODUCTS
HARRIS, J
SILVERMAN, JH
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 112 (02) : 347 - 356