Reference : The index of an Eisenstein ideal of multiplicity one
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/11497
The index of an Eisenstein ideal of multiplicity one
English
Yoo, Hwajong mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2013
16
No
[en] Eisenstein series ; multiplicity one ; cuspidal groups
[en] Mazur’s fundamental work on Eisenstein ideals for prime level has a variety of arith- metic applications. In this article, we generalize his work to arbitrary square-free level. We compute the index of an Eisenstein ideal and the dimension of the m-torsion of the modular Jacobian vari- ety, where m is an Eisenstein maximal ideal. In many cases, the dimension of the m-torsion is 2, in other words, multiplicity one theorem holds.
Researchers ; Professionals
http://hdl.handle.net/10993/11497
http://arxiv.org/abs/1311.5275

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