標題: CUSPIDAL Q-RATIONAL TORSION SUBGROUP OF J(Gamma) OF LEVEL P
作者: Chen, Yao-Han
應用數學系
Department of Applied Mathematics
關鍵字: Modular units;Modular curves;Jacobians;Siegel functions
公開日期: 1-六月-2011
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.
URI: http://hdl.handle.net/11536/23047
ISSN: 1027-5487
期刊: TAIWANESE JOURNAL OF MATHEMATICS
Volume: 15
Issue: 3
起始頁: 1305
結束頁: 1323
顯示於類別:期刊論文