Directions of analytic discs attached to generic manifolds of finite type
type: Item
instance of: scholarly article
title: Directions of analytic discs attached to generic manifolds of finite type
zbMATH Open document ID: 0815.32006
author: Linda Preiss Rothschild
author: Mohamed Salah Baouendi
published in: Journal of Functional Analysis
publication date: 1994-12-20T00:00:00Z
review text: The authors present an algorithmic construction of a certain finite- dimensional family of analytic discs attached to a generic manifold \(M\) of finite type in \(\mathbb{C}^ N\) allowing to determine a direction of wedge extendibility for all CR-functions on \(M\) near a point, thus completing the existence results obtained by \textit{A. E. Tumanov} [Math. USSR, Sb. 64, No. 1, 129-140 (1989); translation from Mat. Sb., Nov. Ser. 136(178), No. 1(5), 128-139 (1988; Zbl 0692.58005)] and the authors' previous results [Invent. Math. 101, No. 1, 45-56 (1990; Zbl 0712.32009)]. The same type of construction gives a family of analytic discs whose boundaries cover the generic manifold \(M\). The anisotropic wedge constructed in section 7 is a more natural region of extendibility for higher codimensions.
reviewed by: Eugen Pascu
Mathematics Subject Classification ID: 32V99
Mathematics Subject Classification ID: 32V05
Mathematics Subject Classification ID: 32D15
zbMATH DE Number: 704498
zbMATH Keywords: CR-manifolds
zbMATH Keywords: extendibility
zbMATH Keywords: CR-functions
MaRDI profile type: Publication
full work available at URL: jfan.1994.1120
OpenAlex ID: W2110341162
DOI: 10.1006/JFAN.1994.1120
description: scientific article; zbMATH DE number 704498