Homogeneous Ulrich bundles on isotropic flag varieties
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909347747987456 |
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| author | Fang, Xinyi Nakayama, Yusuke |
| author_facet | Fang, Xinyi Nakayama, Yusuke |
| contents | In this paper, we consider the existence problem of Ulrich bundles on a rational homogeneous space $G/P$ of type $B$, $C$ or $D$. We show that if the Picard number of $G/P$ is greater than or equal to $2$, then there are no irreducible homogeneous Ulrich bundles on $G/P$ with respect to the minimal ample class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10388 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homogeneous Ulrich bundles on isotropic flag varieties Fang, Xinyi Nakayama, Yusuke Algebraic Geometry 14F05, 14M17 In this paper, we consider the existence problem of Ulrich bundles on a rational homogeneous space $G/P$ of type $B$, $C$ or $D$. We show that if the Picard number of $G/P$ is greater than or equal to $2$, then there are no irreducible homogeneous Ulrich bundles on $G/P$ with respect to the minimal ample class. |
| title | Homogeneous Ulrich bundles on isotropic flag varieties |
| topic | Algebraic Geometry 14F05, 14M17 |
| url | https://arxiv.org/abs/2410.10388 |