Pseudorepresentations of weight one are unramified

Frank Calegari; Joel Specter

doi:10.2140/ant.2019.13.1583

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Home > Journals > Algebra Number Theory > Volume 13 > Issue 7 > Article

2019 Pseudorepresentations of weight one are unramified

Frank Calegari, Joel Specter

Algebra Number Theory 13(7): 1583-1596 (2019). DOI: 10.2140/ant.2019.13.1583

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Abstract

We prove that the determinant (pseudorepresentation) associated to the Hecke algebra of Katz modular forms of weight one and level prime to $p$ is unramified at $p$ .

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Frank Calegari. Joel Specter. "Pseudorepresentations of weight one are unramified." Algebra Number Theory 13 (7) 1583 - 1596, 2019. https://doi.org/10.2140/ant.2019.13.1583

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Received: 23 March 2017; Revised: 13 May 2019; Accepted: 19 June 2019; Published: 2019

First available in Project Euclid: 16 January 2020

zbMATH: 07110516

MathSciNet: MR4009671

Digital Object Identifier: 10.2140/ant.2019.13.1583

Subjects:

Primary: 11F33

Secondary: 11F80

Keywords: Galois representations , modular forms

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Vol.13 • No. 7 • 2019

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Frank Calegari, Joel Specter "Pseudorepresentations of weight one are unramified," Algebra & Number Theory, Algebra Number Theory 13(7), 1583-1596, (2019)

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