\(\bar\partial\)-regularity for weakly pseudoconvex domains in compact Hermitian symmetric spaces with respect to invariant metrics
type: Item
instance of: scholarly article
title: \(\bar\partial\)-regularity for weakly pseudoconvex domains in compact Hermitian symmetric spaces with respect to invariant metrics
zbMATH Open document ID: 1030.53071
DOI: 10.2307/3597199
author: Yum-Tong Siu
published in: Annals of Mathematics. Second Series
publication date: 2003-06-02T00:00:00Z
review text: The following conjecture is proved: Main Theorem. Let \(q\geq 8\). Then there are no \(C^q\) Levi-flat real hypersurface \(M\) in \(\mathbb{P}_2\). (Here the Levi-flatness of \(M\) means that \(M\) is foliated by local complex-analytic curves.).
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 53C12
zbMATH DE Number: 1851144
zbMATH Keywords: Hermitian symmetric spaces
zbMATH Keywords: Levi-flatness
zbMATH Keywords: pseudoconvex domain
reviewed by: Huili Liu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2307/3597199
OpenAlex ID: W260297563
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description: scientific article; zbMATH DE number 1851144