Semiample vector bundles and a characterization of étale trivial vector bundles
Indranil Biswas, D. S. Nagaraj
Published: 2025/9/18
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.