On the smooth locus of affine Schubert varieties
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_ | 1866911766065184768 |
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| author | Pappas, Georgios Zhou, Rong |
| author_facet | Pappas, Georgios Zhou, Rong |
| contents | We give a simple and uniform proof of a conjecture of Haines-Richarz characterizing the smooth locus of Schubert varieties in twisted affine Grassmannians. Our method is elementary and avoids any representation theoretic techniques, instead relying on a combinatorial analysis of tangent spaces of Schubert varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14827 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the smooth locus of affine Schubert varieties Pappas, Georgios Zhou, Rong Algebraic Geometry Representation Theory We give a simple and uniform proof of a conjecture of Haines-Richarz characterizing the smooth locus of Schubert varieties in twisted affine Grassmannians. Our method is elementary and avoids any representation theoretic techniques, instead relying on a combinatorial analysis of tangent spaces of Schubert varieties. |
| title | On the smooth locus of affine Schubert varieties |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2312.14827 |