Gorenstein toric Schubert varieties in Grassmannians
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929207560372224 |
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| author | Kim, Shin-young Lee, Eunjeong |
| author_facet | Kim, Shin-young Lee, Eunjeong |
| contents | A partial flag variety is a smooth projective homogeneous variety admitting an action of a maximal torus $T$. Schubert varieties are $T$-invariant subvarieties of the partial flag varieties. We study toric Schubert varieties in Grassmannian varieties with respect to the action of the torus $T$. Indeed, we present an explicit description of the fan of a Gorenstein toric Schubert variety in a Grassmannian, and we prove that any Gorenstein toric Schubert variety in a Grassmannian variety is Fano. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06317 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gorenstein toric Schubert varieties in Grassmannians Kim, Shin-young Lee, Eunjeong Algebraic Geometry Combinatorics Primary: 14M25, 14M15, 14J45, Secondary: 05A05 A partial flag variety is a smooth projective homogeneous variety admitting an action of a maximal torus $T$. Schubert varieties are $T$-invariant subvarieties of the partial flag varieties. We study toric Schubert varieties in Grassmannian varieties with respect to the action of the torus $T$. Indeed, we present an explicit description of the fan of a Gorenstein toric Schubert variety in a Grassmannian, and we prove that any Gorenstein toric Schubert variety in a Grassmannian variety is Fano. |
| title | Gorenstein toric Schubert varieties in Grassmannians |
| topic | Algebraic Geometry Combinatorics Primary: 14M25, 14M15, 14J45, Secondary: 05A05 |
| url | https://arxiv.org/abs/2401.06317 |