Work

On the eigencurve at classical weight 1 points

Year: 2015

Type: article

Abstract: We show that the p-adic eigencurve is smooth at classical weight 1 points which are regular at p and give a precise criterion for étaleness over the weight space at those points. Our approach uses deformations of Galois representations.

Source: Duke Mathematical Journal

DOI: 10.1215/00127094-3165755

Authors: Joël Bellaïche, Mladen Dimitrov

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: Centre Européen pour les Mathématiques, la Physique et leurs Interactions, Arithmetic of Shimura varieties and automorphic forms and Applications

OpenAlex ID: W1644664971

FWCI: 9.38

Cites: 18

Cited by: 66

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