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- W2949695160 abstract "Mazur's fundamental work on Eisenstein ideals of prime level has a variety of arithmetic applications. In this article, we generalize some of his work to square-free level. More specifically, we attempt to compute the index of an Eisenstein ideal and the dimension of the m-torsion of the modular Jacobian variety, where m is an Eisenstein maximal ideal. In many cases, the dimension of the m-torsion is 2, in other words, a multiplicity one theorem holds." @default.
- W2949695160 created "2019-06-27" @default.
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- W2949695160 date "2013-11-21" @default.
- W2949695160 modified "2023-09-27" @default.
- W2949695160 title "The index of an Eisenstein ideal and multiplicity one" @default.
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