Vector field construction of Segre sets
Complex Variables
2007-05-23 v2
Abstract
A CR generic real analytic CR manifold M carries two families of Segre varieties and conjugate Segre varieties. We observe in this article that their complexifications give rise to two families of foliations of the complexification of M which coincide with the flow foliations induced by the complexified CR (1,0) and (0,1) vector fields tangent to M. As an application, we derive a new proof of the characterization of finite type in terms of Segre sets.
Keywords
Cite
@article{arxiv.math/9901010,
title = {Vector field construction of Segre sets},
author = {Joel Merker},
journal= {arXiv preprint arXiv:math/9901010},
year = {2007}
}
Comments
Completely rewritten version, 42 pages Sujclass: Complex Variables