| Date | 2014-05-01 |
|---|---|
| Speaker | 유화종 |
| Dept. | University of Luxembourg |
| Room | 129-310 |
| Time | 14:00-15:00 |
In this talk, we discuss the cuspidal group of $J_0(pq)$ and the rational torsion points of $J_0(pq)$.
We prove the following statement. If a prime $ell$ does not divide 6pq*gcd(p-1, q-1)*gcd(p-1,q+1)*(q-1,p+1), then the $ell$-primary part of the rational torsion subgroup of $J_0(pq)$ is isomorphic to the $ell$-primary subgroup of the cuspidal group.
