Structure of the cuspidal rational torsion subgroup of J1(pn)

Autores: Yifan Yang, Jeng-Daw Yu
Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 82, Nº 1, 2010, págs. 203-228
Idioma: inglés
DOI: 10.1112/jlms/jdq013
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Resumen
- Let p be a prime and let J1(pn) denote the Jacobian of the modular curve X1(pn). The Jacobian J1(pn) contains a Q-rational torsion subgroup generated by the cuspidal divisor classes [(a/pn) .
  
  (��)], where p a. In this paper, we determine the structure of the p-primary subgroup of this Q-rational torsion subgroup in the case where p is a regular prime.