Normality of Schubert varieties in affine Grassmannians II: The tamely ramified case
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914074706575360 |
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| author | Bieker, Patrick |
| author_facet | Bieker, Patrick |
| contents | We prove a criterion for the normality of Schubert varieties in twisted affine Grassmannians in terms of the order of the algebraic fundamental group of a certain Levi subgroup, in particular in small positive characteristic. As an application, we obtain a similar normality criterion for local models in both equal and mixed characteristic. In particular, we give a classification of normal Pappas-Zhu local models at absolutely special level as well as for adjoint groups of rank 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04876 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normality of Schubert varieties in affine Grassmannians II: The tamely ramified case Bieker, Patrick Algebraic Geometry We prove a criterion for the normality of Schubert varieties in twisted affine Grassmannians in terms of the order of the algebraic fundamental group of a certain Levi subgroup, in particular in small positive characteristic. As an application, we obtain a similar normality criterion for local models in both equal and mixed characteristic. In particular, we give a classification of normal Pappas-Zhu local models at absolutely special level as well as for adjoint groups of rank 1. |
| title | Normality of Schubert varieties in affine Grassmannians II: The tamely ramified case |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.04876 |