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| Title: | On the Q-rational cuspidal subgroup and the component group of J0(pr) | Authors: | Ling, S. | Issue Date: | 1997 | Citation: | Ling, S. (1997). On the Q-rational cuspidal subgroup and the component group of J0(pr). Israel Journal of Mathematics 99 : 29-54. ScholarBank@NUS Repository. | Abstract: | For p ≥ 3 a prime, we compute the Q-rational cuspidal subgroup C(pr) of the Jacobian J0(pr) of the modular curve X0(pr). This result is then applied to determine the component group Φpr of the Néron model of J0(pr) over Zp. This extends results of Lorenzini [7]. We also study the action of the Atkin-Lehner involution on the p-primary part of C(pr), as well as the effect of degeneracy maps on the component groups. | Source Title: | Israel Journal of Mathematics | URI: | http://scholarbank.nus.edu.sg/handle/10635/103829 | ISSN: | 00212172 |
| Appears in Collections: | Staff Publications |
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