Geodesic
$p$-adic families of Siegel modular cuspforms
Fabrizio Andreatta1 ; Adrian Iovita2 ; Vincent Pilloni3
1 Università Statale di Milano, Milano, Italy
2 Concordia University, Montreal, Quebec, Canada, Universtità Degli Studi di Padova, Padova, Italy
3 Chargé de recherche en mathématiques au CNRS, Ecole normale supérieure de Lyon, Lyon, France
Annals of mathematics, Tome 181 (2015) no. 2, pp. 623-697.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Let $p$ be an odd prime and $g\geq 2$ an integer. We prove that a finite slope Siegel cuspidal eigenform of genus $g$ can be $p$-adically deformed over the $g$-dimensional weight space. The proof of this theorem relies on the construction of a family of sheaves of locally analytic overconvergent modular forms.
DOI : 10.4007/annals.2015.181.2.5

Fabrizio Andreatta 1 ; Adrian Iovita 2 ; Vincent Pilloni 3

1 Università Statale di Milano, Milano, Italy
2 Concordia University, Montreal, Quebec, Canada, Universtità Degli Studi di Padova, Padova, Italy
3 Chargé de recherche en mathématiques au CNRS, Ecole normale supérieure de Lyon, Lyon, France 
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Fabrizio Andreatta; Adrian Iovita; Vincent Pilloni. $p$-adic families of Siegel modular  cuspforms. Annals of mathematics, Tome 181 (2015) no. 2, pp. 623-697. doi : 10.4007/annals.2015.181.2.5. http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.181.2.5/

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