\(L^{2}\)-extension of \(\overline{\partial}\)-closed forms

zbMath1280.32010arXiv1104.4620MaRDI QIDQ372148

Bo Berndtsson

Publication date: 14 October 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4620

zbMATH Keywords

\(\overline\partial\)-closed extension\(\overline\partial\)-closed forms

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Kähler manifolds (32Q15) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

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Singular Gauduchon metrics ⋮ Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors ⋮ \(L^2\) extension of \(\overline{\partial}\)-closed forms from a hypersurface ⋮ $$L^2$$ L 2 estimates for the $$\bar{\partial }$$ ∂ ¯ operator ⋮ \(L^2\) extension of \(\bar{\partial} \)-closed forms on weakly pseudoconvex Kähler manifolds

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