The cohomology of a variation of polarized Hodge structures over a quasi-compact Kähler manifold

DOI10.1090/S1056-3911-07-00468-7zbMath1122.14009arXivmath/0312145MaRDI QIDQ5297680

Kang Zuo, Juergen Jost, Yi-Hu Yang

Publication date: 12 July 2007

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312145

zbMATH Keywords

Kähler manifolds\(L^2\)-cohomologyHodge structures

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (1)

Higgs bundles over cell complexes and representations of finitely presented groups

Cites Work

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• Polarized mixed Hodge structures and the local monodromy of a variation of Hodge structure
• The asymptotic behavior of a variation of polarized Hodge structure
• \(L^ 2\) and intersection cohomologies for a polarizable variation of Hodge structure
• The Poincaré lemma for variations of polarized Hodge structure
• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
• Analytic cycles and vector bundles on non-compact algebraic varieties
• Variation of Hodge structure: The singularities of the period mapping
• Degeneration of Hodge structures
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
• Harmonic Bundles on Noncompact Curves
• On the negativity of kernels of Kodaira-Spencer maps on Hodge bundles and applications

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