Hodge Theory of Singular Algebraic Curves

DOI10.2307/2047974zbMath0686.58002OpenAlexW4241640123MaRDI QIDQ4204827

Masayoshi Nagase

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047974

zbMATH Keywords

spectrum of the Laplacianincomplete Kähler manifold

Mathematics Subject Classification ID

Hodge theory in global analysis (58A14) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items

Local geometry of singular real analytic surfaces ⋮ The Witten complex for singular spaces of dimension two with cone‐like singularities ⋮ The geometric complex for algebraic curves with cone-like singularities and admissible Morse functions ⋮ Kähler-Hodge theory for conformal complex cones ⋮ Remarks on the \(L^ 2\)-Dolbeault cohomology groups of singular algebraic surfaces and curves

Cites Work

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• \(L^ 2\)-cohomology of normal algebraic surfaces. I
• Spectral geometry of singular Riemannian spaces
• Pure Hodge structure of the harmonic \(L^ 2\)-forms on singular algebraic surfaces
• The fundamental solutions of the heat equations on Riemannian spaces with cone-like singular points
• On the heat operators of cuspidally stratified Riemannian spaces
• On the heat operators of normal singular algebraic surfaces
• Remarks on the \(L^ 2\)-cohomology of singular algebraic surfaces
• Index Theory on Curves