Finsler metrics and Kobayashi hyperbolicity of the moduli spaces of canonically polarized manifolds
成果类型：
Article
署名作者：
To, Wing-Keung; Yeung, Sai-Kee
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2015.181.2.3
发表日期：
2015
页码：
547-586
关键词：
摘要：
We show that the base complex manifold of an effectively parametrized holomorphic family of compact canonically polarized complex manifolds admits a smooth invariant Finsler metric whose holomorphic sectional curvature is bounded above by a negative constant. As a consequence, we show that such a base manifold is Kobayashi hyperbolic.