Semiample vector bundles and a characterization of étale trivial vector bundles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916955643969536 |
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| author | Biswas, Indranil Nagaraj, D. S. |
| author_facet | Biswas, Indranil Nagaraj, D. S. |
| contents | We prove that a vector bundle $E$ over a smooth complex projective variety $M$ is étale trivial if and only if $E$ is semiample and $c_1(E) \in H^2(M, {\mathbb Q})$ vanishes. Also, a vector bundle $E$ over a smooth complex projective curve is semiample if and only if it is virtually globally generated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14606 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semiample vector bundles and a characterization of étale trivial vector bundles Biswas, Indranil Nagaraj, D. S. Algebraic Geometry We prove that a vector bundle $E$ over a smooth complex projective variety $M$ is étale trivial if and only if $E$ is semiample and $c_1(E) \in H^2(M, {\mathbb Q})$ vanishes. Also, a vector bundle $E$ over a smooth complex projective curve is semiample if and only if it is virtually globally generated. |
| title | Semiample vector bundles and a characterization of étale trivial vector bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.14606 |