The basic locus of unitary splitting Rapoport-Zink spaces with vertex stabilizer level
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914096355475456 |
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| author | Zachos, Ioannis Zhao, Zhihao |
| author_facet | Zachos, Ioannis Zhao, Zhihao |
| contents | We construct the Bruhat-Tits stratification of the ramified unitary splitting Rapoport-Zink space, with the level being the stabilizer of a vertex lattice. To determine certain local properties of the Bruhat-Tits strata, we develop a theory of the strata splitting models. To study their global structure, we establish an explicit isomorphism between the Bruhat-Tits strata and certain (modified) Deligne-Lusztig varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14497 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The basic locus of unitary splitting Rapoport-Zink spaces with vertex stabilizer level Zachos, Ioannis Zhao, Zhihao Number Theory Algebraic Geometry We construct the Bruhat-Tits stratification of the ramified unitary splitting Rapoport-Zink space, with the level being the stabilizer of a vertex lattice. To determine certain local properties of the Bruhat-Tits strata, we develop a theory of the strata splitting models. To study their global structure, we establish an explicit isomorphism between the Bruhat-Tits strata and certain (modified) Deligne-Lusztig varieties. |
| title | The basic locus of unitary splitting Rapoport-Zink spaces with vertex stabilizer level |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2510.14497 |