Analytic discs attached to manifolds with boundary
type: Item
instance of: scholarly article
title: Analytic discs attached to manifolds with boundary
zbMATH Open document ID: 0924.32012
author: Luca Baracco
author: Giuseppe Zampieri
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1999-11-07T00:00:00Z
review text: Let \(X\) be an \(n\)-dimensional complex manifold, \(M\) a real hypersurface of \(X\), and \(M^+\) one of the two closed subspaces of \(X\) with boundary \(M\). The paper deals with the following problem: Let \(A\) be an analytic disc in \(X\), \(z_0 = A(1) \in M\), such that \(\partial_\tau A(1) \in T^{\mathbb C}_{z_0} M\). What are conditions under which holomorphic functions on \(\overset\circ M^+\) extend holomorphically to a neighborhood of \(z_0\)?
Mathematics Subject Classification ID: 32D15
zbMATH DE Number: 1160422
zbMATH Keywords: holomorphic extension
zbMATH Keywords: analytic disc
reviewed by: Peter Pflug
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195145151
OpenAlex ID: W2010660029
cites work: Analytic discs attached to half spaces of \(\mathbb{C}^n\) and extension of holomorphic functions
cites work: Q4000245
cites work: On the geometry of analytic discs attached to real manifolds
cites work: Connections and propagation of analyticity for \(CR\) functions
cites work: Extending CR functions from manifolds with boundaries
DOI: 10.2977/PRIMS/1195145151
description: scientific article; zbMATH DE number 1160422