Semiglobal results for $\overline \partial $ on a complex space with arbitrary singularities
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Publication:4671876
DOI10.1090/S0002-9939-05-07963-3zbMath1073.32022arXivmath/0401171OpenAlexW1710622779MaRDI QIDQ4671876
Nils Øvrelid, Sophia K. Vassiliadou, John-Erik Fornaess
Publication date: 27 April 2005
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0401171
Related Items (20)
An analytic Grothendieck Riemann Roch theorem ⋮ The Dolbeault complex with weights according to normal crossings ⋮ The \({\overline{\partial}}\)-equation on homogeneous varieties with an isolated singularity ⋮ Some applications of metric currents to complex analysis ⋮ \(L ^{2}\)-\(\overline{\partial}\)-cohomology groups of some singular complex spaces ⋮ A pointwise norm on a non-reduced analytic space ⋮ Hartogs extension theorems on Stein spaces ⋮ A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas ⋮ Norm estimates for the \(\bar{\partial}\)-equation on a non-reduced space ⋮ The \(\bar{\partial }\)-equation on a non-reduced analytic space ⋮ An explicit \(\bar {\partial }\)-integration formula for weighted homogeneous varieties. II: Forms of higher degree ⋮ A \(\overline{\partial}\)-theoretical proof of Hartogs' extension theorem on Stein spaces with isolated singularities ⋮ 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 ⋮ Solving on product singularities ⋮ ABOUT THE $\bar{\partial}$-EQUATION AT ISOLATED SINGULARITIES WITH REGULAR EXCEPTIONAL SET ⋮ Global Koppelman formulas on (singular) projective varieties ⋮ Semiglobal results for $\overline∂$ on complex spaces with arbitrary singularities, Part II ⋮ An explicit \(\overline {\partial}\)-integration formula for weighted homogeneous varieties
Cites Work
- Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Über Modifikationen und exzeptionelle analytische Mengen
- Analytic sheaf cohomology groups of dimension n of \(n\)-dimensional noncompact complex manifolds
- Local $L^2$ results for $\overline{\partial}$ on a singular surface
- Sur le problème de la division
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