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2019 Congruences of parahoric group schemes
Radhika Ganapathy
Algebra Number Theory 13(6): 1475-1499 (2019). DOI: 10.2140/ant.2019.13.1475

Abstract

Let F be a nonarchimedean local field and let T be a torus over F . With T N R denoting the Néron–Raynaud model of T , a result of Chai and Yu asserts that the model T N R × O F O F p F m is canonically determined by ( T r l ( F ) , Λ ) for l m , where T r l ( F ) = ( O F p F l , p F p F l + 1 , ϵ ) with ϵ denoting the natural projection of p F p F l + 1 on p F p F l , and Λ : = X ( T ) . In this article we prove an analogous result for parahoric group schemes attached to facets in the Bruhat–Tits building of a connected reductive group over F .

Citation

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Radhika Ganapathy. "Congruences of parahoric group schemes." Algebra Number Theory 13 (6) 1475 - 1499, 2019. https://doi.org/10.2140/ant.2019.13.1475

Information

Received: 6 November 2018; Revised: 16 April 2019; Accepted: 25 May 2019; Published: 2019
First available in Project Euclid: 21 August 2019

zbMATH: 07103982
MathSciNet: MR3994573
Digital Object Identifier: 10.2140/ant.2019.13.1475

Subjects:
Primary: 22E50
Secondary: 11F70

Keywords: close local fields , parahoric

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.13 • No. 6 • 2019
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