# On the Failure of the Gorenstein Property for Hecke Algebras of Prime Weight

@article{Kilford2008OnTF, title={On the Failure of the Gorenstein Property for Hecke Algebras of Prime Weight}, author={L. J. P. Kilford and Gabor Wiese}, journal={Experimental Mathematics}, year={2008}, volume={17}, pages={37 - 52} }

In this article we report on extensive calculations concerning the Gorenstein defect for Hecke algebras of spaces of modular forms of prime weight p at maximal ideals of residue characteristic p such that the attached mod-p Galois representation is unramified at p and the Frobenius at p acts by scalars. The results lead us to ask the question whether the Gorenstein defect and the multiplicity of the attached Galois representation are always equal to 2. We review the literature on the failure of… CONTINUE READING

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## Mod-2 dihedral Galois representations of prime conductor

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## Multiplicities of Galois representations of weight one (with an appendix by Niko Naumann)

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## Modular curves, Arakelov theory, algorithmic applications

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## Modular Forms: Arithmetic and Computation

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