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HECKE OPERATORS AND THE COHERENT COHOMOLOGY OF SHIMURA VARIETIES
Published online by Cambridge University Press: 08 April 2021
Abstract
We consider the problem of defining an action of Hecke operators on the coherent cohomology of certain integral models of Shimura varieties. We formulate a general conjecture describing which Hecke operators should act integrally and solve the conjecture in certain cases. As a consequence, we obtain p-adic estimates of Satake parameters of certain nonregular self-dual automorphic representations of $\mathrm {GL}_n$ .
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 1 , January 2023 , pp. 1 - 69
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press
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