Partial Hasse invariants for Shimura varieties of Hodge-type
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866913235952730112 |
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| author | Imai, Naoki Koskivirta, Jean-Stefan |
| author_facet | Imai, Naoki Koskivirta, Jean-Stefan |
| contents | For a connected reductive group $G$ over a finite field, we define partial Hasse invariants on the stack of $G$-zip flags. We obtain similar sections on the flag space of Shimura varieties of Hodge-type. They are mod $p$ automorphic forms which cut out a single codimension one stratum. We study their properties and show that such invariants admit a natural factorization through higher rank automorphic vector bundles. We define the socle of an automorphic vector bundle, and show that partial Hasse invariants lie in this socle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_11117 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Partial Hasse invariants for Shimura varieties of Hodge-type Imai, Naoki Koskivirta, Jean-Stefan Algebraic Geometry Number Theory Representation Theory 14G35, 20G40 For a connected reductive group $G$ over a finite field, we define partial Hasse invariants on the stack of $G$-zip flags. We obtain similar sections on the flag space of Shimura varieties of Hodge-type. They are mod $p$ automorphic forms which cut out a single codimension one stratum. We study their properties and show that such invariants admit a natural factorization through higher rank automorphic vector bundles. We define the socle of an automorphic vector bundle, and show that partial Hasse invariants lie in this socle. |
| title | Partial Hasse invariants for Shimura varieties of Hodge-type |
| topic | Algebraic Geometry Number Theory Representation Theory 14G35, 20G40 |
| url | https://arxiv.org/abs/2109.11117 |