Some non-Goernstein Hecke algebras attached to spaces of modular forms

LJP Kilford

doi:10.1006/jnth.2002.2803

Some non-Goernstein Hecke algebras attached to spaces of modular forms

LJP Kilford

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

12 Citations (Scopus)

Abstract

Let p be a prime, and let S2(Î“0(p)) be the space of cusp forms of level Î“0(p) and weight 2. We prove that, for p{431, 503, 2089}, there exists a non-Eisenstein maximal ideal of the Hecke algebra of S2(Î“0(p)) above 2, such that (Tq) is not Gorenstein.

Translated title of the contribution	Some non-Goernstein Hecke algebras attached to spaces of modular forms
Original language	English
Pages (from-to)	157 - 164
Number of pages	8
Journal	Journal of Number Theory
Volume	97 (1)
DOIs	https://doi.org/10.1006/jnth.2002.2803
Publication status	Published - Nov 2002

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Publisher: Academic Press - Elsevier

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@article{3c4cf183c53d4356aecfd4618ebec954,

title = "Some non-Goernstein Hecke algebras attached to spaces of modular forms",

abstract = "Let p be a prime, and let S2({\^I}“0(p)) be the space of cusp forms of level {\^I}“0(p) and weight 2. We prove that, for p\{431, 503, 2089\}, there exists a non-Eisenstein maximal ideal of the Hecke algebra of S2({\^I}“0(p)) above 2, such that (Tq) is not Gorenstein.",

author = "LJP Kilford",

note = "Publisher: Academic Press - Elsevier",

year = "2002",

month = nov,

doi = "10.1006/jnth.2002.2803",

language = "English",

volume = "97 (1)",

pages = "157 -- 164",

journal = "Journal of Number Theory",

issn = "1096-1658",

publisher = "Academic Press Inc.",

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T1 - Some non-Goernstein Hecke algebras attached to spaces of modular forms

AU - Kilford, LJP

N1 - Publisher: Academic Press - Elsevier

PY - 2002/11

Y1 - 2002/11

N2 - Let p be a prime, and let S2(Î“0(p)) be the space of cusp forms of level Î“0(p) and weight 2. We prove that, for p{431, 503, 2089}, there exists a non-Eisenstein maximal ideal of the Hecke algebra of S2(Î“0(p)) above 2, such that (Tq) is not Gorenstein.

AB - Let p be a prime, and let S2(Î“0(p)) be the space of cusp forms of level Î“0(p) and weight 2. We prove that, for p{431, 503, 2089}, there exists a non-Eisenstein maximal ideal of the Hecke algebra of S2(Î“0(p)) above 2, such that (Tq) is not Gorenstein.

U2 - 10.1006/jnth.2002.2803

DO - 10.1006/jnth.2002.2803

M3 - Article (Academic Journal)

SN - 1096-1658

VL - 97 (1)

SP - 157

EP - 164

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Some non-Goernstein Hecke algebras attached to spaces of modular forms

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