Vector Bundles over Normal Varieties Trivialized by Finite Morphisms

Abstract

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.

5 pages

References in corpus (1)

• Vector bundles trivialized by proper morphisms and the fundamental group scheme, II

Cited by in corpus (1)

• Vector bundles trivialized by proper morphisms and the fundamental group scheme, II