[Formes modulaires géometriques et -adiques des poids demi-entiers]
Nous nous proposons ici de présenter un formalisme géométrique ayant pour but l’étude des formes modulaires des poids demi-entiers. Ce formalisme est mis à contribution pour définir les formes modulaires -adiques des poids demi-entiers, et dans la construction des opérateurs de Hecke -adiques.
In this paper we introduce a geometric formalism for studying modular forms of half-integral weight. We then use this formalism to define -adic modular forms of half-integral weight and to construct -adic Hecke operators.
Keywords: Modular forms of half-integral weight, $p$-adic modular forms
Mot clés : formes modulaires des poids demi-entiers, formes modulaires p-adiques
@article{AIF_2006__56_3_599_0,
author = {Ramsey, Nick},
title = {Geometric and $p$-adic {Modular} {Forms} of {Half-Integral} {Weight}},
journal = {Annales de l'Institut Fourier},
pages = {599--624},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {56},
number = {3},
year = {2006},
doi = {10.5802/aif.2195},
mrnumber = {2244225},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/aif.2195/}
}
TY - JOUR AU - Ramsey, Nick TI - Geometric and $p$-adic Modular Forms of Half-Integral Weight JO - Annales de l'Institut Fourier PY - 2006 SP - 599 EP - 624 VL - 56 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2195/ DO - 10.5802/aif.2195 LA - en ID - AIF_2006__56_3_599_0 ER -
%0 Journal Article %A Ramsey, Nick %T Geometric and $p$-adic Modular Forms of Half-Integral Weight %J Annales de l'Institut Fourier %D 2006 %P 599-624 %V 56 %N 3 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2195/ %R 10.5802/aif.2195 %G en %F AIF_2006__56_3_599_0
Ramsey, Nick. Geometric and $p$-adic Modular Forms of Half-Integral Weight. Annales de l'Institut Fourier, Tome 56 (2006) no. 3, pp. 599-624. doi : 10.5802/aif.2195. http://archive.numdam.org/articles/10.5802/aif.2195/
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