TOURS D'IGUSA SURCONVERGENTES ET FAMILLES p-ADIQUES DE FORMES DE SIEGEL SURCONVERGENTES
Résumé
In this paper, we reconstruct the eigenvariety for GSp(2g) (already constructed by Andreatta-Iovita-Pilloni) by using a new tool called
the overconvergent Igusa variety,. This tower of finite etale coverings over the overconvergent locus on a Siegel variety is
given by trivializations of the overconvergent monodromy sheaf which has been previously constructed by Brinon and Mokrane.
We show that our eigenvariety coincides with that of Andreatta-Iovita-Pilloni.
Domaines
Théorie des nombres [math.NT]| Origine | Fichiers produits par l'(les) auteur(s) |
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