Non-minimal modularity lifting in weight one-Reference-Cited by-同舟云学术

Non-minimal modularity lifting in weight one

Published:2018-07-01 Issue:740 Volume:2018 Page:41-62
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:
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Author:

Calegari Frank

Abstract

Abstract We prove an integral

{R=\mathbf{T}}

theorem for odd two-dimensional p-adic representations of

{G_{\mathbf{Q}}}

which are unramified at p, extending results of [5] to the non-minimal case. We prove, for any p, the existence of Katz modular forms modulo p of weight one which do not lift to characteristic zero.

Funder

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2015-0071/pdf

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