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Overconvergent modular forms

2013; Association of the Annals of the Fourier Institute; Volume: 63; Issue: 1 Linguagem: Inglês

10.5802/aif.2759

1777-5310

Vincent Pilloni,

Advanced Mathematical Identities

We give a geometric definition of overconvergent modular forms of any p-adic weight. As an application, we reprove Coleman’s theory of p-adic families of modular forms and reconstruct the eigencurve of Coleman and Mazur without using the Eisenstein family.