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- Année : 2018
- Fascicule : 3
- Tome : 51
- Format : Électronique
- Langue de l'ouvrage :
Anglais - Class. Math. : 11F33, 11G18, 14G35.
- Pages : 603-655
- DOI : 10.24033/asens.2362
We construct a space of overconvergent modular forms of characteristic $p$, a compact operator on this space and we show that the characteristic series of this operator is the reduction modulo $p$ of Coleman's universal series. We prove that finite slope overconvergent modular forms in positive characteristic can be deformed to characteristic $0$.
Modular forms, $p$-adic modular forms.