$F$-zips with additional structure on splitting models of Shimura varieties
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916894104092672 |
|---|---|
| author | Shen, Xu Zheng, Yuqiang |
| author_facet | Shen, Xu Zheng, Yuqiang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_13763 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | $F$-zips with additional structure on splitting models of Shimura varieties Shen, Xu Zheng, Yuqiang Algebraic Geometry 11G18, 14G35 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. |
| title | $F$-zips with additional structure on splitting models of Shimura varieties |
| topic | Algebraic Geometry 11G18, 14G35 |
| url | https://arxiv.org/abs/2212.13763 |