English

Differential forms on singular spaces, the minimal model program, and hyperbolicity of moduli stacks

Algebraic Geometry 2011-12-21 v2

Abstract

This survey discusses hyperbolicity properties of moduli stacks and generalisations of the Shafarevich Hyperbolicity Conjecture to higher dimensions. It concentrates on methods and results that relate moduli theory with recent progress in higher dimensional birational geometry.

Keywords

Cite

@article{arxiv.1107.4239,
  title  = {Differential forms on singular spaces, the minimal model program, and hyperbolicity of moduli stacks},
  author = {Stefan Kebekus},
  journal= {arXiv preprint arXiv:1107.4239},
  year   = {2011}
}

Comments

45 pages, 3 figures. Final version, to appear in the Handbook of Moduli, in honour of David Mumford, to be published by International press, editors Gavril Farkas and Ian Morrison

R2 v1 2026-06-21T18:39:59.294Z