Vector Bundles over Normal Varieties Trivialized by Finite Morphisms

Details Vector Bundles over Normal Varieties Trivialized by Finite Morphisms Vector Bundles over Normal Varieties Trivialized by Finite Morphisms

2010-09-27

arxiv.org/abs/1009.5234v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

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.

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