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2020 Relative crystalline representations and $p$-divisible groups in the small ramification case
Tong Liu, Yong Suk Moon
Algebra Number Theory 14(10): 2773-2789 (2020). DOI: 10.2140/ant.2020.14.2773

Abstract

Let k be a perfect field of characteristic p>2, and let K be a finite totally ramified extension over W(k)[1p] of ramification degree e. Let R0 be a relative base ring over W(k)t1±1,,tm±1 satisfying some mild conditions, and let R=R0W(k)𝒪K. We show that if e<p1, then every crystalline representation of π1e ́ t(SpecR[1p]) with Hodge–Tate weights in [0,1] arises from a p-divisible group over R.

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Tong Liu. Yong Suk Moon. "Relative crystalline representations and $p$-divisible groups in the small ramification case." Algebra Number Theory 14 (10) 2773 - 2789, 2020. https://doi.org/10.2140/ant.2020.14.2773

Information

Received: 2 October 2019; Revised: 14 May 2020; Accepted: 24 June 2020; Published: 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4190418
Digital Object Identifier: 10.2140/ant.2020.14.2773

Subjects:
Primary: 11F80
Secondary: 11S20, 14L05

Rights: Copyright © 2020 Mathematical Sciences Publishers

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