Title: | RATIONAL TORSION ON THE GENERALIZED JACOBIAN OF A MODULAR CURVE WITH CUSPIDAL MODULUS |
Authors: | Yamazaki, Takao Yang, Yifan 應用數學系 Department of Applied Mathematics |
Keywords: | Generalized Jacobian;torsion points;modular units;cuspidal divisor class |
Issue Date: | 1-Jan-2016 |
Abstract: | We consider the generalized Jacobian (J) over tilde (0) (N) of a modular curve X-0 (N) with respect to a reduced divisor given by the sum of all cusps on it. When N is a power of a prime >= 5, we exhibit that the group of rational torsion points (J) over tilde (0) (N) (Q)(Tor) tends to be much smaller than the classical Jacobian. |
URI: | http://hdl.handle.net/11536/144068 |
ISSN: | 1431-0643 |
Journal: | DOCUMENTA MATHEMATICA |
Volume: | 21 |
Begin Page: | 1669 |
End Page: | 1690 |
Appears in Collections: | Articles |