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Hecke Algebras and the Gorenstein Property

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Modular Forms and Fermat’s Last Theorem

Abstract

The goal of this paper is to show the importance of the Gorenstein property for the Hecke algebra and its relation with the local freeness of the cohomology of modular curves as a module over the Hecke algebra.

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Author information

Authors and Affiliations

  1. Université de Paris-Nord, Paris-Nord

    Jacques Tilouine

Authors
  1. Jacques Tilouine
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Connecticut, Storrs, CT, 06268, USA

    Gary Cornell

  2. Department of Mathematics, Brown University, Providence, RI, 02912, USA

    Joseph H. Silverman

  3. Department of Mathematics, Boston University, Boston, MA, 02215, USA

    Glenn Stevens

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© 1997 Springer Science+Business Media New York

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Tilouine, J. (1997). Hecke Algebras and the Gorenstein Property. In: Cornell, G., Silverman, J.H., Stevens, G. (eds) Modular Forms and Fermat’s Last Theorem. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1974-3_10

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  • DOI: https://doi.org/10.1007/978-1-4612-1974-3_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-98998-3

  • Online ISBN: 978-1-4612-1974-3

  • eBook Packages: Springer Book Archive

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