On the basic locus of GSpin Shimura varieties with vertex stabilizer level
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908362583572480 |
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| author | He, Qiao Zhou, Rong |
| author_facet | He, Qiao Zhou, Rong |
| contents | We study the basic locus of Shimura varieties associated to the group of spinor similitudes of a quadratic space over $\mathbb{Q}$ with level structure given by the stabilizer of a vertex lattice. We give a description of the underlying reduced scheme of the associated Rapoport--Zink space, generalizing results of Howard--Pappas [HP17] and Oki [Oki20b], in the case of self-dual, and almost self dual level structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08911 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the basic locus of GSpin Shimura varieties with vertex stabilizer level He, Qiao Zhou, Rong Number Theory Algebraic Geometry 11G15, 14G35, 14G40 We study the basic locus of Shimura varieties associated to the group of spinor similitudes of a quadratic space over $\mathbb{Q}$ with level structure given by the stabilizer of a vertex lattice. We give a description of the underlying reduced scheme of the associated Rapoport--Zink space, generalizing results of Howard--Pappas [HP17] and Oki [Oki20b], in the case of self-dual, and almost self dual level structure. |
| title | On the basic locus of GSpin Shimura varieties with vertex stabilizer level |
| topic | Number Theory Algebraic Geometry 11G15, 14G35, 14G40 |
| url | https://arxiv.org/abs/2505.08911 |