Vector Bundles over Normal Varieties Trivialized by Finite Morphisms

Marco Antei; Vikram Mehta

Vector Bundles over Normal Varieties Trivialized by Finite Morphisms

Algebraic Geometry 2012-09-19 v1

Authors: Marco Antei , Vikram Mehta

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.

Keywords

vector bundles projective varieties bundle theory

Cite

@article{arxiv.1009.5234,
  title  = {Vector Bundles over Normal Varieties Trivialized by Finite Morphisms},
  author = {Marco Antei and Vikram Mehta},
  journal= {arXiv preprint arXiv:1009.5234},
  year   = {2012}
}

Comments

5 pages

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