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$F$-zips with additional structure on splitting models of Shimura varieties by Shen, Xu; Zheng, Yuqiang is a scholarly article available to read on EtoBox.

What is $F$-zips with additional structure on splitting models of Shimura varieties about?

We construct universal $G$-zips on good reductions of the Pappas-Rapoport splitting models for PEL-type Shimura varieties. We study the induced Ekedahl-Oort stratification, which sheds new light on the mod $p$ geometry of splitting models. Building on the work of Lan on arithmetic compactifications of splitting models, we further extend these constructions to smooth toroidal compactifications. Combined with the work of Goldring-Koskivirta on group theoretical Hasse invariants, we get an application to Galois representations associated to torsion classes in coherent cohomology in the ramified setting.

Author

Shen, Xu; Zheng, Yuqiang

Published

2022

Language

EN