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

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

2001-05-22

arxiv.org/abs/math/0105181v2

Mathematics

Number Theory

This replaces the May 2001 version; it has been rewritten, and the exposition has been improved, thanks to the help of William

Scientific paper

This paper answers a question of Gross and others, by exhibiting specific
examples of Hecke algebras where mod 2 multiplicity one fails for some modular
forms, and the associated Hecke algebras are not Gorenstein.
It shows that the methods of Wiles, Gross, Edixhoven, Buzzard, Mazur and
others have an upper bound to their applicability.

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