Hyperbolicity of the base of an admissible family of log canonical stable minimal models
arXiv:2302.09828
Abstract
We investigate the stratified hyperbolicity properties of Birkar's moduli stack of log canonical (lc) stable minimal models. The main technical result is a construction of Viehweg-Zuo's system of Higgs sheaves associated with an admissible family of lc stable minimal models, using the theory of degenerations of Hodge structure and non-abelian Hodge theory.
34 pages. Some typos are fixed. Comments are welcome