Lp-curvature and the Cauchy-Riemann equation near an isolated singular point

DOI10.1017/S0027763000008023zbMath1027.32027OpenAlexW1643850768MaRDI QIDQ4545198

Yoshihiro Tonegawa, Adam Harris

Publication date: 14 August 2002

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

Full work available at URL: https://doi.org/10.1017/s0027763000008023

zbMATH Keywords

holomorphic extensionisolated singular pointCauchy-Riemann equation\(L^p\)-curvature

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Removable singularities in several complex variables (32D20)

Cites Work

• Charakterisierung der Holomorphiegebiete durch die vollständige Kählersche Metrik
• Cheeger-Goreski-MacPherson's conjecture for the varieties with isolated singularities
• Intersection homology theory
• Removable singularities for holomorphic vector bundles
• \(L_ 2\)-cohomology of Kähler varieties with isolated singularities
• On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• On the extension of holomorphic functions from the boundary of a complex manifold
• Holomorphic Connections and Extension of Complex Vector Bundles

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