Normality of Schubert varieties in affine Grassmannians
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866911046016434176 |
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| author | Bieker, Patrick Richarz, Timo |
| author_facet | Bieker, Patrick Richarz, Timo |
| contents | We classify all normal Schubert varieties in the affine Grassmannian of a semisimple group over an arbitrary field with special attention to small positive characteristic. The proof is elementary and relies on tangent space calculations for quasi-minuscule Schubert varieties, a refined Levi lemma in positive characteristic and the classification of minimal degenerations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11154 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Normality of Schubert varieties in affine Grassmannians Bieker, Patrick Richarz, Timo Algebraic Geometry Representation Theory We classify all normal Schubert varieties in the affine Grassmannian of a semisimple group over an arbitrary field with special attention to small positive characteristic. The proof is elementary and relies on tangent space calculations for quasi-minuscule Schubert varieties, a refined Levi lemma in positive characteristic and the classification of minimal degenerations. |
| title | Normality of Schubert varieties in affine Grassmannians |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2312.11154 |