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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.05106 |
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| _version_ | 1866914371862528000 |
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| author | Balaji, Vikraman Pandey, Yashonidhi |
| author_facet | Balaji, Vikraman Pandey, Yashonidhi |
| contents | We prove that split reductive BT group schemes over a higher dimensional base are {\em affine}. Our method also gives a new construction of higher BT-group schemes more general than parahoric ones. The new ingredients are an extension of J.-K.Yu's construction in \cite{yu} to higher dimensional bases, Néron-Raynaud dilatations of subgroup schemes on divisors, combined with techniques from \cite{bt2} and the structure theory developed in \cite{bp}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05106 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bruhat-Tits group schemes over higher dimensional base-II Balaji, Vikraman Pandey, Yashonidhi Algebraic Geometry 14L15, 14M27, 14D20 We prove that split reductive BT group schemes over a higher dimensional base are {\em affine}. Our method also gives a new construction of higher BT-group schemes more general than parahoric ones. The new ingredients are an extension of J.-K.Yu's construction in \cite{yu} to higher dimensional bases, Néron-Raynaud dilatations of subgroup schemes on divisors, combined with techniques from \cite{bt2} and the structure theory developed in \cite{bp}. |
| title | Bruhat-Tits group schemes over higher dimensional base-II |
| topic | Algebraic Geometry 14L15, 14M27, 14D20 |
| url | https://arxiv.org/abs/2603.05106 |