The index of an Eisenstein ideal of multiplicity one

Reference : The index of an Eisenstein ideal of multiplicity one


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/11497

Title :	The index of an Eisenstein ideal of multiplicity one
Language :	English
Author, co-author :	Yoo, Hwajong [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2013
Number of pages :	16
Peer reviewed :	No
Keywords :	[en] Eisenstein series ; multiplicity one ; cuspidal groups
Abstract :	[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.
Target :	Researchers ; Professionals
Permalink :	http://hdl.handle.net/10993/11497
Other URL :	http://arxiv.org/abs/1311.5275

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