On the Ekedahl–Oort stratification of Shimura curves

Howard, Benjamin

doi:10.2140/ant.2020.14.961

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On the Ekedahl–Oort stratification of Shimura curves

Benjamin Howard

Vol. 14 (2020), No. 4, 961–990

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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Keywords

Shimura varieties, Ekedahl–Oort stratification

Mathematical Subject Classification 2010

Primary: 11G18

Secondary: 14G35

Milestones

Received: 28 February 2019

Revised: 3 January 2020

Accepted: 6 February 2020

Published: 21 June 2020

Authors

Benjamin Howard
Department of Mathematics Boston College Chestnut Hill, MA United States

Vol. 14, No. 4, 2020