English

Algebraic varieties with quasi-projective universal cover

Algebraic Geometry 2011-02-15 v1

Abstract

We prove that the universal cover of a normal, projective variety X is quasi-projective if and only if a finite, \'etale cover of X is a fiber bundle over an Abelian variety with simply connected fiber.

Keywords

Cite

@article{arxiv.1102.2762,
  title  = {Algebraic varieties with quasi-projective universal cover},
  author = {Benoît Claudon and Andreas Hoering and János Kollár},
  journal= {arXiv preprint arXiv:1102.2762},
  year   = {2011}
}

Comments

14 pages, no figure. Comments are wellcome

R2 v1 2026-06-21T17:25:51.825Z