English

Uniformisation of higher-dimensional minimal varieties

Algebraic Geometry 2019-02-22 v1 Complex Variables Differential Geometry

Abstract

After a historical discussion of classical uniformisation results for Riemann surfaces, of problems appearing in higher dimensions, and of uniformisation results for projective manifolds with trivial or ample canonical bundle, we introduce the basic technical concepts and sketch the ideas of the proofs for recent uniformisation theorems for singular varieties obtained by the authors in collaboration with Thomas Peternell.

Keywords

Cite

@article{arxiv.1608.06644,
  title  = {Uniformisation of higher-dimensional minimal varieties},
  author = {Daniel Greb and Stefan Kebekus and Behrouz Taji},
  journal= {arXiv preprint arXiv:1608.06644},
  year   = {2019}
}

Comments

29 pages, accepted for publication in the proceedings of the 2015 AMS Summer Institute in Algebraic Geometry, Salt Lake City

R2 v1 2026-06-22T15:28:35.498Z