Geodesic
F-zips with additional structure on splitting models of Shimura varieties
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e142

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Shen, Xu; Zheng, Yuqiang. F-zips with additional structure on splitting models of Shimura varieties. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e142. doi: 10.1017/fms.2025.10091
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