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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.16646 |
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| _version_ | 1866909968931749888 |
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| author | Yang, Jie |
| author_facet | Yang, Jie |
| contents | Let $p$ be an odd prime and $F$ be a complete discretely valued field with residue field of characteristic $p$. For any parahoric level structure of the split even orthogonal similitude group $\operatorname{GO}_{2n}$ over $F$, we prove a preliminary form of the Pappas-Rapoport flatness conjecture: the associated spin local model is topologically flat. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16646 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological flatness of orthogonal spin local models Yang, Jie Number Theory Let $p$ be an odd prime and $F$ be a complete discretely valued field with residue field of characteristic $p$. For any parahoric level structure of the split even orthogonal similitude group $\operatorname{GO}_{2n}$ over $F$, we prove a preliminary form of the Pappas-Rapoport flatness conjecture: the associated spin local model is topologically flat. |
| title | Topological flatness of orthogonal spin local models |
| topic | Number Theory |
| url | https://arxiv.org/abs/2512.16646 |