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- W2951636214 abstract "In this work we construct an eigencurve for p-adic modular forms attached to an indefinite quaternion algebra over Q. Our theory includes the definition, both as rules on test objects and sections of line bundle, of p-adic modular forms, convergent and overconvergent, of any p-adic weight. We prove that our modular forms can be put in analytic families over the weight space and we introduce the Hecke operators U and T_l, that can also be put in families. We show that the U-operator acts compactly on the space of overconvergent modular forms. We finally construct the eigencurve, a rigid analytic variety whose points correspond to systems of overconvergent eigenforms of finite slope with respect to the U-operator." @default.
- W2951636214 created "2019-06-27" @default.
- W2951636214 creator A5064617886 @default.
- W2951636214 date "2012-06-25" @default.
- W2951636214 modified "2023-09-27" @default.
- W2951636214 title "Quaternionic modular forms of any weight" @default.
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- W2951636214 hasPublicationYear "2012" @default.
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