Maximal Eisenstein ideals and cuspidal subgroups of modular Jacobian varieties
Number Theory
2019-08-29 v1
Abstract
In this paper, we study the torsion subgroup of over the field generated by those points in the cuspidal group, where is an odd positive integer. We prove that, considered as Hecke modules, this group and the cuspidal subgroup are both supported at the maximal Eisenstein ideals.
Keywords
Cite
@article{arxiv.1908.10537,
title = {Maximal Eisenstein ideals and cuspidal subgroups of modular Jacobian varieties},
author = {Yuan Ren},
journal= {arXiv preprint arXiv:1908.10537},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1901.09896