Finsler metrics and Kobayashi hyperbolicity of the moduli spaces of canonically polarized manifolds

DOI10.4007/annals.2015.181.2.3zbMath1319.32024OpenAlexW2128169536MaRDI QIDQ2255291

Wing-Keung To, Sai Kee Yeung

Publication date: 9 February 2015

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/558c33e374fbead2c6e257541772fcd5c75a6970

zbMATH Keywords

moduli spaceKobayashi hyperbolicityKähler-Einstein metrics

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Kähler-Einstein manifolds (32Q20) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (13)

On the hyperbolicity of base spaces for maximally variational families of smooth projective varieties (with an appendix by Dan Abramovich) ⋮ ALGEBRAIC FIBER SPACES AND CURVATURE OF HIGHER DIRECT IMAGES ⋮ Hyperbolicity of moduli spaces of log-canonically polarized manifolds ⋮ Narasimhan–Simha-type metrics on strongly pseudoconvex domains in ℂn ⋮ Strict Arakelov inequality for a family of varieties of general type ⋮ Holomorphic sectional curvature of complex Finsler manifolds ⋮ Positivities and vanishing theorems on complex Finsler manifolds ⋮ Curvature formulas related to a family of stable Higgs bundles ⋮ Brody hyperbolicity of base spaces of certain families of varieties ⋮ On the Kodaira dimension of base spaces of families of manifolds ⋮ Aspects in Complex Hyperbolicity ⋮ On the negativity of moduli spaces for polarized manifolds ⋮ Arithmetic hyperbolicity and a stacky Chevalley–Weil theorem

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