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Classicité en théorie de hida

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Abstract

In this article, we prove an effective classicity theorem in Hida's theory. We focus more precisely on the case of the symplectic group and Siegel modular forms. We also prove that certain mod p Siegel modular forms lift to characteristic zero and study carefully the divisibility by p of certain Hecke operators.

Original languageEnglish
Pages (from-to)861-889
Number of pages29
JournalAmerican Journal of Mathematics
Volume135
Issue number4
DOIs
Publication statusPublished - 1 Aug 2013

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