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arXiv · 1006.4190

Tameness of complex dimension in a real analytic set

Janusz Adamus·Serge Randriambololona·Rasul Shafikov
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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.

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Janusz Adamus, Serge Randriambololona, Rasul Shafikov. 2017-09-27. Tameness of complex dimension in a real analytic set. https://doi.org/10.4153/cjm-2012-019-4

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