Tameness of complex dimension in a real analytic set
Complex Variables
2019-08-15 v3
Abstract
Given a real analytic set X in a complex manifold and a positive integer d, denote by A(d) the set of points p in X at which there exists a germ of a complex analytic set of dimension d contained in X. It is proved that A(d) is a closed semianalytic subset of X.
Cite
@article{arxiv.1006.4190,
title = {Tameness of complex dimension in a real analytic set},
author = {Janusz Adamus and Serge Randriambololona and Rasul Shafikov},
journal= {arXiv preprint arXiv:1006.4190},
year = {2019}
}
Comments
Published version