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CANCELLING COMPLEX POINTS IN CODIMENSION TWO

Part of: CR manifolds

Published online by Cambridge University Press:  09 August 2012

MARKO SLAPAR
MARKO SLAPAR*
Affiliation:
Faculty of Education, University of Ljubljana, Kardeljeva Ploščad 16, 1000 Ljubljana, Slovenia Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia (email: marko.slapar@pef.uni-lj.si)
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Abstract

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A generically embedded real submanifold of codimension two in a complex manifold has isolated complex points that can be classified as either elliptic or hyperbolic. In this paper we show that a pair consisting of one elliptic and one hyperbolic complex point of the same sign can be cancelled by a $\mathcal {C}^{0}$small isotopy of embeddings.

Keywords

CR manifoldscomplex points

MSC classification

Secondary: 32V40: Real submanifolds in complex manifolds
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 88 , Issue 1 , August 2013 , pp. 64 - 69
Copyright
Copyright © 2012 Australian Mathematical Publishing Association Inc. 

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