Uniform (d+1)-bundle over the Grassmannian G(d,n)
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910370583543808 |
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| author | Du, Rong Zhou, Yuhang |
| author_facet | Du, Rong Zhou, Yuhang |
| contents | This paper is dedicated to the classification of uniform vector bundles of rank $d+1$ over the Grassmannian $G(d,n)$ ($d\le n-d$) over an algebraically closed field in characteristic $0$. Specifically, we show that all uniform vector bundles with rank $d+1$ over $G(d,n)$ are homogeneous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11231 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniform (d+1)-bundle over the Grassmannian G(d,n) Du, Rong Zhou, Yuhang Algebraic Geometry This paper is dedicated to the classification of uniform vector bundles of rank $d+1$ over the Grassmannian $G(d,n)$ ($d\le n-d$) over an algebraically closed field in characteristic $0$. Specifically, we show that all uniform vector bundles with rank $d+1$ over $G(d,n)$ are homogeneous. |
| title | Uniform (d+1)-bundle over the Grassmannian G(d,n) |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2403.11231 |