Seshadri constants on some flag bundles
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909163644256256 |
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| author | Hanumanthu, Krishna Pine, Jagadish |
| author_facet | Hanumanthu, Krishna Pine, Jagadish |
| contents | Let $X$ be a smooth complex projective curve and let $E$ be a vector bundle on $X$ which is not semistable. We consider a flag bundle $π: \text{Fl}(E) \to X$ parametrizing certain flags of fibers of $E$. The dimensions of the successive quotients of the flags are determined by the ranks of vector bundles appearing in the Harder-Narasimhan filtration of $E$. We compute the Seshadri constants of nef line bundles on $\text{Fl}(E)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_16477 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Seshadri constants on some flag bundles Hanumanthu, Krishna Pine, Jagadish Algebraic Geometry Let $X$ be a smooth complex projective curve and let $E$ be a vector bundle on $X$ which is not semistable. We consider a flag bundle $π: \text{Fl}(E) \to X$ parametrizing certain flags of fibers of $E$. The dimensions of the successive quotients of the flags are determined by the ranks of vector bundles appearing in the Harder-Narasimhan filtration of $E$. We compute the Seshadri constants of nef line bundles on $\text{Fl}(E)$. |
| title | Seshadri constants on some flag bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2303.16477 |