The 2-adic Eigencurve is Proper

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dc.creatorBuzzard, Kevin
dc.creatorCalegari, Frank
dc.date2005-03-17
dc.date.accessioned2026-07-07T05:18:05Z
dc.date.available2026-07-07T05:18:05Z
dc.descriptionFor p=2 and tame level N=1 we prove that the map from the (Coleman-Mazur) Eigencurve to weight space satisfies the valuative criterion of properness. More informally, we show that the Eigencurve has no "holes"; given a punctured disc of finite slope overconvergent eigenforms over weight space, the center can be "filled in" with a finite slope overconvergent eigenform.
dc.identifierhttps://arxiv.org/abs/math/0503362
dc.identifierhttp://arxiv.org/abs/math/0503362
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74536
dc.subjectNumber Theory
dc.titleThe 2-adic Eigencurve is Proper
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