CUSPIDAL Q-RATIONAL TORSION SUBGROUP OF J(Γ) OF LEVEL P

被引：4

作者：

Chen, Yao-Han ^{[1
]}

机构：

[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 300, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 03期

关键词：

Modular units; Modular curves; Jacobians; Siegel functions; CLASS NUMBER FORMULA;

D O I：

10.11650/twjm/1500406301

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For p > 3 an odd prime, let Gamma be a congruence subgroup between Gamma(1)(p) and Gamma(0)(p). In this article, we give an explicit basis for the group of modular units on X(Gamma) that have divisors defined over Q. As an application, we determine the order of the cuspidal Q-rational torsion subgroup of J(Gamma) generated by the divisor classes of cuspidal divisors of degree 0 defined over Q.

引用

页码：1305 / 1323

页数：19

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