On the real-analytic infinitesimal CR automorphism of hypersurfaces of infinite type

2014/04/19 by Van Thu, Ninh, Van Tiep, Chu, Duc, Mai Anh
#32M05 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1404.4914

Abstract

In this article, we consider a real smooth hypersurface M⊂ \mathbb C², which is of infinite type at p∈ M. The purpose of this paper is to show that the real vector space of tangential holomorphic vector field germs at p vanishing at p is either trivial or of real dimension 1.

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