Geometric and p-adic Modular Forms of Half-Integral Weight
[Formes modulaires géometriques et p-adiques des poids demi-entiers]
Ramsey, Nick1
1 University of Michigan Department of Mathematics 2074 East Hall 530 Church Street Ann Arbor, MI 48109-1043 (USA)
Annales de l'Institut Fourier, Tome 56 (2006) no. 3, pp. 599-624.

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 p-adiques des poids demi-entiers, et dans la construction des opérateurs de Hecke p-adiques.

In this paper we introduce a geometric formalism for studying modular forms of half-integral weight. We then use this formalism to define p-adic modular forms of half-integral weight and to construct p-adic Hecke operators.

DOI : 10.5802/aif.2195
Classification : 11F33, 11F37
Keywords: Modular forms of half-integral weight, p-adic modular forms
Mot clés : formes modulaires des poids demi-entiers, formes modulaires p-adiques
Ramsey, Nick 1

1 University of Michigan Department of Mathematics 2074 East Hall 530 Church Street Ann Arbor, MI 48109-1043 (USA) 
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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. https://www.numdam.org/articles/10.5802/aif.2195/

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