Tours d'Igusa surconvergentes et familles p-adiques de formes de Siegel surconvergentes

Autor:	Brinon, Olivier, Mokrane, Abdellah, Tilouine, Jacques
Přispěvatelé:	Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Analyse, Géométrie et Applications (LAGA), Université Paris 8 Vincennes-Saint-Denis (UP8)-Centre National de la Recherche Scientifique (CNRS)-Institut Galilée-Université Paris 13 (UP13), ANR ArShiFo BLAN-10-114, ANR-14-CE25-0002,PerCoLaTor,PERfectoïdes, cohomologie COmplétée, correspondance de LAnglands et cohomologie de TORsion(2014), ANR-BLAN-10-0114
Jazyk:	francouzština
Rok vydání:	2015
Předmět:	p-adic Siegel modular forms Siegel varieties eigenvariety p-adic modular forms Igusa variety [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
Popis:	In this paper, we reconstruct the eigenvariety for GSp(2g) (already constructed by Andreatta-Iovita-Pilloni) by using a new tool calledthe overconvergent Igusa variety,. This tower of finite etale coverings over the overconvergent locus on a Siegel variety isgiven 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::7975b5570384ccdd108a2e16869a680c https://hal.archives-ouvertes.fr/hal-01108470 Zobrazit plný text záznamu