Solving on product singularities

DOI10.1080/17476930500454068zbMath1127.32007OpenAlexW1997450147MaRDI QIDQ5201516

Nils Øvrelid, Sophia K. Vassiliadou

Publication date: 19 April 2006

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930500454068

zbMATH Keywords

singularityCauchy-Riemann equation

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (10)

$$L^2$$ -Serre Duality on Singular Complex Spaces and Applications ⋮ The \({\overline{\partial}}\)-equation on homogeneous varieties with an isolated singularity ⋮ An explicit \(\bar {\partial }\)-integration formula for weighted homogeneous varieties. II: Forms of higher degree ⋮ Subelliptic estimates for the \(\bar\partial\)-problem on a singular complex space ⋮ Compactness of the \(\bar{\partial}\)-Neumann operator on singular complex spaces ⋮ Weighted Koppelman formulas and the \(\bar\partial\)-equation on an analytic space ⋮ \(L^2\)-properties of the \(\overline{\partial}\) and the \(\overline{\partial}\)-Neumann operator on spaces with isolated singularities ⋮ ABOUT THE $\bar{\partial}$-EQUATION AT ISOLATED SINGULARITIES WITH REGULAR EXCEPTIONAL SET ⋮ Global Koppelman formulas on (singular) projective varieties ⋮ An explicit \(\overline {\partial}\)-integration formula for weighted homogeneous varieties

Cites Work

• Hilbert complexes
• L//2 cohomology of warped products and arithmetic groups
• Contact singularities
• Semiglobal results for $\overline \partial $ on a complex space with arbitrary singularities
• LOCAL L² RESULTS FOR $\bar\partial$: THE ISOLATED SINGULARITIES CASE

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