Semiample vector bundles and a characterization of \'etale trivial vector bundles

Indranil Biswas; D. S. Nagaraj

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arXiv · 2509.14606

Semiample vector bundles and a characterization of \'etale trivial vector bundles

Indranil Biswas·D. S. Nagaraj

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Abstract

We prove that a vector bundle $E$ over a smooth complex projective variety $M$ is \'etale 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.

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BibTeX RIS

Indranil Biswas, D. S. Nagaraj. 2025-09-18. Semiample vector bundles and a characterization of \'etale trivial vector bundles. https://arxiv.org/abs/2509.14606

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