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

[摘要] Let p be a prime, and let S-2 (Gamma(0) (p)) be the space of cusp forms of level Gamma(0) (p) and weight 2. We prove that, for p is an element of {431, 503, 2089}, there exists a non-Eisenstein maximal ideal m of the Hecke algebra of S-2(Gamma(0)(p)) above 2, such that (T-q)(m) is not Gorenstein. (C) 2002 Elsevier Science (USA).

[发布日期] 2002-11-01