Tameness of complex dimension in a real analytic set

Details Tameness of complex dimension in a real analytic set Tameness of complex dimension in a real analytic set

2010-06-21

arxiv.org/abs/1006.4190v2

Mathematics

Complex Variables

16 pages

Scientific paper

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.

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