若干附属于模形式空间的非Gorenstein Hecke代数
数论
2007-05-23 v2
摘要
本文通过给出具体的Hecke代数例子(其中某些模形式的模2重数一定律失效,且相应的Hecke代数不是Gorenstein)回答了Gross及其他人的一个问题。它表明Wiles、Gross、Edixhoven、Buzzard、Mazur等人的方法有适用性的上限。
引用
@article{arxiv.math/0105181,
title = {Some non-Gorenstein Hecke algebras attached to spaces of modular forms},
author = {L. J. P. Kilford},
journal= {arXiv preprint arXiv:math/0105181},
year = {2007}
}
备注
This replaces the May 2001 version; it has been rewritten, and the exposition has been improved, thanks to the help of William Stein and Kevin Buzzard