Title: CUSPIDAL Q-RATIONAL TORSION SUBGROUP OF J(Gamma) OF LEVEL P
Authors: Chen, Yao-Han
應用數學系
Department of Applied Mathematics
Keywords: Modular units;Modular curves;Jacobians;Siegel functions
Issue Date: 1-Jun-2011
Abstract: 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
Journal: TAIWANESE JOURNAL OF MATHEMATICS
Volume: 15
Issue: 3
Begin Page: 1305
End Page: 1323
Appears in Collections:Articles