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arxiv: 1107.4239 · v2 · pith:NR5DTZGSnew · submitted 2011-07-21 · 🧮 math.AG

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

classification 🧮 math.AG
keywords hyperbolicitymodulihigherstacksbirationalconcentratesconjecturedifferential
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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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