Browsing by Author "Yamazaki, Takao"

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RATIONAL TORSION ON THE GENERALIZED JACOBIAN OF A MODULAR CURVE WITH CUSPIDAL MODULUS
(2016-01-01)
Yamazaki, Takao
;
Yang, Yifan
;
應用數學系
;
Department of Applied Mathematics
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.