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

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

2011-07-21

arxiv.org/abs/1107.4239v2

Mathematics

Algebraic Geometry

45 pages, 3 figures. Final version, to appear in the Handbook of Moduli, in honour of David Mumford, to be published by Intern

Scientific paper

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.

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