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

2011/07/21 by Kebekus, Stefan · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/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.

Cited by

• Universally Equidimensional Morphisms and Weakly or Strongly rational Singularities

Related

• Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects
• The structure of surfaces mapping to the moduli stack of canonically polarized varieties
• An algebraic approach to the hyperbolicity of moduli stacks of Calabi-Yau varieties
• The moduli space of multi-scale differentials
• Moduli of Riemann Surfaces, Transcendental Aspects