On the Ekedahl–Oort stratification of Shimura curves

Benjamin Howard

doi:10.2140/ant.2020.14.961

Abstract

We study the Hodge–Tate period domain associated to a quaternionic Shimura curve at a prime of bad reduction, and give an explicit description of its Ekedahl–Oort stratification.

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Benjamin Howard. "On the Ekedahl–Oort stratification of Shimura curves." Algebra Number Theory 14 (4) 961 - 990, 2020. https://doi.org/10.2140/ant.2020.14.961

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Received: 28 February 2019; Revised: 3 January 2020; Accepted: 6 February 2020; Published: 2020

First available in Project Euclid: 30 June 2020

zbMATH: 07224497

MathSciNet: MR4114063

Digital Object Identifier: 10.2140/ant.2020.14.961

Subjects:

Primary: 11G18

Secondary: 14G35

Keywords: Ekedahl–Oort stratification , Shimura varieties

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