Morphisms from $\mathbb{P}^m$ to flag varieties
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913637280514048 |
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| author | Fang, Xinyi Ren, Peng |
| author_facet | Fang, Xinyi Ren, Peng |
| contents | In this paper, we consider the morphisms from projective spaces to flag varieties. We show that the morphisms can only be constant under some special conditions. As a consequence, we prove that the splitting types of unsplit uniform $r$-bundles on $\mathbb{P}^m$ can not be $(a_1,\dots,a_1,a_2,\dots,a_{r-k+1})$ for $1\le k\le m-2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08151 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Morphisms from $\mathbb{P}^m$ to flag varieties Fang, Xinyi Ren, Peng Algebraic Geometry 14A10, 14M15, 14J60 In this paper, we consider the morphisms from projective spaces to flag varieties. We show that the morphisms can only be constant under some special conditions. As a consequence, we prove that the splitting types of unsplit uniform $r$-bundles on $\mathbb{P}^m$ can not be $(a_1,\dots,a_1,a_2,\dots,a_{r-k+1})$ for $1\le k\le m-2$. |
| title | Morphisms from $\mathbb{P}^m$ to flag varieties |
| topic | Algebraic Geometry 14A10, 14M15, 14J60 |
| url | https://arxiv.org/abs/2310.08151 |