The index of an Eisenstein ideal and multiplicity one

10 Oct 2015  ·  Yoo Hwajong ·

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. read more

PDF Abstract
No code implementations yet. Submit your code now

Categories


Number Theory