Vector Bundles over Normal Varieties Trivialized by Finite Morphisms

Marco Antei, Vikram Mehta

Published 2010-09-27Version 1

Let $Y$ be a normal and projective variety over an algebraically closed field $k$ and $V$ a vector bundle over $Y$. We prove that if there exist a $k$-scheme $X$ and a finite surjective morphism $g:X\to Y$ that trivializes $V$ then $V$ is essentially finite.