Familles de formes modulaires de Drinfeld pour le groupe général linéaire
نویسندگان
چکیده
Soient F F un corps de fonctions sur alttext="double-struck upper F Subscript q"> F q encoding="application/x-tex">\mathbb {F}_q , A"> A encoding="application/x-tex">A l’anneau des régulières hors d’une place alttext="normal infinity"> mathvariant="normal">? encoding="application/x-tex">\infty et alttext="German p"> mathvariant="fraktur">p encoding="application/x-tex">\mathfrak {p} idéal premier . En lieu, nous développons la théorie Hida pour les formes modulaires Drinfeld rang alttext="r"> r encoding="application/x-tex">r qui sont pente nulle l’opérateur Hecke U pi"> mathvariant="normal">U ?<!-- ? encoding="application/x-tex">\mathrm {U}_{\pi } convenablement défini. second montrons en finie l’existence familles variant continûment selon le poids. troisième prouvons résultat classicité: une forme modulaire surconvergente suffisamment petite par rapport au poids est classique.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2021
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8314