Pure Hodge structure of the harmonic \(L^ 2\)-forms on singular algebraic surfaces

DOI10.2977/prims/1195173932zbMath0711.14003OpenAlexW1994705800MaRDI QIDQ922596

Masayoshi Nagase

Publication date: 1988

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195173932

zbMATH Keywords

hard Lefschetz structuresharmonic \(L^ 2\)-spacespure Hodge structure

Mathematics Subject Classification ID

Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Ordered rings (13J25)

Related Items

Hodge Theory of Singular Algebraic Curves ⋮ An L2-Poincaré–Dolbeault lemma of spaces with mixed cone-cusp singular metrics ⋮ Hodge Decompositions and Dolbeault Complexes on Normal Surfaces ⋮ Remarks on the \(L^ 2\)-Dolbeault cohomology groups of singular algebraic surfaces and curves

Cites Work

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• Hodge spectral sequence on compact Kähler spaces
• \(L^ 2\)-cohomology of normal algebraic surfaces. I
• Vanishing theorems on complete Kähler manifolds
• \(L_ 2\)-cohomology and intersection homology of certain algebraic varieties with isolated singularities
• On the heat operators of normal singular algebraic surfaces
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Lectures on Levi convexity of complex manifolds and cohomology vanishing theorems. Notes by M.S.Raghunathan
• Normal Two-Dimensional Singularities. (AM-71)

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