Laufer's vanishing theorem for embedded CR manifolds
type: Item
instance of: scholarly article
title: Laufer's vanishing theorem for embedded CR manifolds
zbMATH Open document ID: 1008.32021
author: Judith Brinkschulte
published in: Mathematische Zeitschrift
publication date: 2002-06-27T00:00:00Z
review text: It was proved by Laufer that the Dolbeault cohomology groups are either zero or infinite dimensional for any open subset of a Stein manifold. In this paper, the author proves an analogue for CR manifolds. Namely, he shows that the cohomology groups of the Cauchy-Riemann complexes are either zero or infinite dimensional for a sufficiently small open subset of a generic CR manifold in \(\mathbb{C}^n.\) The author also provides an example of a CR manifold in \(\mathbb{C}^n\) for which the corresponding global result does not hold.
reviewed by: Jih-Hsin Cheng
Mathematics Subject Classification ID: 32V40
zbMATH DE Number: 1761077
zbMATH Keywords: embedded CR manifold
zbMATH Keywords: (Kohn-Rossi) cohomology group
MaRDI profile type: Publication
full work available at URL: s002090100285
OpenAlex ID: W2054607507
DOI: 10.1007/S002090100285
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description: scientific article; zbMATH DE number 1761077