Local $L^2$ results for $\overline{\partial}$ on a singular surface

DOI10.7146/math.scand.a-14405zbMath1033.32005OpenAlexW2223472402MaRDI QIDQ4439674

Klas Diederich, Sophia K. Vassiliadou, John-Erik Fornaess

Publication date: 15 December 2003

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-14405

zbMATH Keywords

Cauchy-Riemann equationSingularityCohomology groups

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Complex spaces (32C15)

Related Items (12)

The Dolbeault complex with weights according to normal crossings ⋮ The \({\overline{\partial}}\)-equation on homogeneous varieties with an isolated singularity ⋮ A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas ⋮ Norm estimates for the \(\bar{\partial}\)-equation on a non-reduced space ⋮ 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 ⋮ Semiglobal results for $\overline \partial $ on a complex space with arbitrary singularities ⋮ LOCAL L² RESULTS FOR $\bar\partial$: THE ISOLATED SINGULARITIES CASE ⋮ \(L^2\)-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 ⋮ An explicit \(\overline {\partial}\)-integration formula for weighted homogeneous varieties

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