English

Viehweg's hyperbolicity conjecture is true over compact bases

Algebraic Geometry 2013-06-25 v1

Abstract

We prove Viehweg's hyperbolicity conjecture over compact bases and over bases with non-uniruled compactification. The most general case of the conjecture states that the the base space of a maximal variation family of smooth projective manifolds with semi-ample canonical sheaf is of log-general type.

Keywords

Cite

@article{arxiv.1109.2835,
  title  = {Viehweg's hyperbolicity conjecture is true over compact bases},
  author = {Zsolt Patakfalvi},
  journal= {arXiv preprint arXiv:1109.2835},
  year   = {2013}
}

Comments

3 pages, comments are warmly welcomed

R2 v1 2026-06-21T19:04:12.028Z