An explicit \(\bar {\partial }\)-integration formula for weighted homogeneous varieties. II: Forms of higher degree

DOI10.1307/mmj/1281531456OpenAlexW2949716894MaRDI QIDQ1957999

Eduardo S. Zeron, Jean Ruppenthal

Publication date: 28 September 2010

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3742

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas ⋮ Estimates for the \({\bar{\partial }} \)-equation on canonical surfaces ⋮ Norm estimates for the \(\bar{\partial}\)-equation on a non-reduced space ⋮ 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 ⋮ Koppelman formulas on affine cones over smooth projective complete intersections ⋮ Global Koppelman formulas on (singular) projective varieties

Cites Work

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• $L^2 - \overline \partial$-Cohomology of Complex Projective Varieties
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• Semiglobal results for $\overline \partial $ on a complex space with arbitrary singularities
• LOCAL L² RESULTS FOR $\bar\partial$: THE ISOLATED SINGULARITIES CASE
• Solving on product singularities

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