Differential forms on singular spaces, the minimal model program, and hyperbolicity of moduli stacks
arXiv:1107.4239
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.
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
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