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2020 On the locus of $2$-dimensional crystalline representations with a given reduction modulo $p$
Sandra Rozensztajn
Algebra Number Theory 14(3): 643-700 (2020). DOI: 10.2140/ant.2020.14.643

Abstract

We consider the family of irreducible crystalline representations of dimension 2 of Gal( ̄pp) given by the Vk,ap for a fixed weight k2. We study the locus of the parameter ap where these representations have a given reduction modulo p. We give qualitative results on this locus and show that for a fixed p and k it can be computed by determining the reduction modulo p of Vk,ap for a finite number of values of the parameter ap. We also generalize these results to other Galois types.

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Sandra Rozensztajn. "On the locus of $2$-dimensional crystalline representations with a given reduction modulo $p$." Algebra Number Theory 14 (3) 643 - 700, 2020. https://doi.org/10.2140/ant.2020.14.643

Information

Received: 13 September 2018; Revised: 26 August 2019; Accepted: 30 September 2019; Published: 2020
First available in Project Euclid: 2 July 2020

MathSciNet: MR4113777
Digital Object Identifier: 10.2140/ant.2020.14.643

Subjects:
Primary: 11F80
Secondary: 14G22

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.14 • No. 3 • 2020
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