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Classicité en théorie de Hida.
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 135, Number 4, August 2013
- pp. 861-889
- 10.1353/ajm.2013.0038
- Article
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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.