Fibrations of compact Kähler manifolds in terms of cohomological properties of their fundamental groups

DOI10.5802/aif.1767zbMath0986.53023OpenAlexW2052766264MaRDI QIDQ1977473

Ngaiming Mok

Publication date: 17 May 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_2_633_0

zbMATH Keywords

foliationcompact Kähler manifoldsholomorphic fibrationharmonic maps and forms

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hodge theory in global analysis (58A14) Fibrations, degenerations in algebraic geometry (14D06) Foliations (differential geometric aspects) (53C12) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (3)

Numerically non-special varieties ⋮ Uniformisation in dimension four: towards a conjecture of Iitaka ⋮ On the uniformization of compact Kähler orbifolds

Cites Work

• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Shafarevich maps and plurigenera of algebraic varieties
• Harmonic forms with values in locally constant Hilbert bundles
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• Sobolev spaces and harmonic maps for metric space targets
• Factorization of semisimple discrete representations of Kähler groups
• Kodaira dimension and Chern hyperbolicity of the Shafarevich maps for representations of π1 of compact Kähler manifolds.
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