On the Ekedahl-Oort stratification of Shimura curves
Benjamin Howard

TL;DR
This paper investigates the structure of the Ekedahl-Oort stratification on the Hodge-Tate period domain of a quaternionic Shimura curve at a prime of bad reduction, providing explicit descriptions.
Contribution
It offers a detailed and explicit description of the Ekedahl-Oort stratification for quaternionic Shimura curves in bad reduction scenarios.
Findings
Explicit description of the Ekedahl-Oort stratification
Analysis of the Hodge-Tate period domain structure
Insights into bad reduction behavior of Shimura curves
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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