On a simple model of X0 (N)

被引：0

作者：

Kodrnja, Iva ^{[1
]}

机构：

[1] Univ Zagreb, Fac Civil Engn, Kaciceva 26, Zagreb 10000, Croatia

来源：

MONATSHEFTE FUR MATHEMATIK | 2018年 / 186卷 / 04期

关键词：

Modular forms; Modular curves; Birational equivalence; Modular polynomial; MODULAR-CURVES; GENERATORS; EQUATIONS; SPACES; FORMS; MAPS; P-2;

D O I：

10.1007/s00605-018-1161-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find plane models for all , . We observe a map from the modular curve to the projective plane constructed using modular forms of weight 12 for the group ; the Ramanujan function , and the third power of Eisestein series of weight 4, , and prove that this map is birational equivalence for every . The equation of the model is the minimal polynomial of over C(j).

引用

页码：653 / 661

页数：9

共 50 条

[21] 对形如“存在x0,使得f(f（x0）)=x0成立”问题的研究
张小丹
李婷
[J]. 中学数学研究, 2021, (01) : 33 - 34
[22] MODULAR-CURVES X0(65) AND X0(91) AND RATIONAL ISOGENY
KENKU, MA
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1980, 87 (JAN) : 15 - 20
[23] OBSERVATION OF X0 PRODUCTION IN PI+N INTERACTIONS
COHN, HO
MCCULLOC.RD
BUGG, WM
CONDO, GT
[J]. PHYSICS LETTERS, 1966, 21 (03): : 347 - &
[24] The rational cuspidal divisor class group of X0(N)
Yoo, Hwajong
[J]. JOURNAL OF NUMBER THEORY, 2023, 242 : 278 - 401
[25] Notes on Weierstrass Points of Modular Curves X0(N)
Im, Bo-Hae
Jeon, Daeyeol
Kim, Chang Heon
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (06): : 1275 - 1293
[26] Twisted arithmetic Siegel Weil formula on X0(N)
Du, Tuoping
Yang, Tonghai
[J]. JOURNAL OF NUMBER THEORY, 2019, 203 : 95 - 117
[27] A short remark on Weierstrass points at infinity on X0(N)
Kohnen, W
[J]. MONATSHEFTE FUR MATHEMATIK, 2004, 143 (02): : 163 - 167
[28] On the components of X0(pn)
Coleman, RF
[J]. JOURNAL OF NUMBER THEORY, 2005, 110 (01) : 3 - 21
[29] Arithmetic Siegel-Weil formula on X0(N)
Du, Tuoping
Yang, Tonghai
[J]. ADVANCES IN MATHEMATICS, 2019, 345 : 702 - 755
[30] A Short Remark on Weierstrass Points at Infinity on X0(N)
Winfried Kohnen
[J]. Monatshefte für Mathematik, 2004, 143 : 163 - 167

← 1 2 3 4 5 →