Deformations of CR maps and applications
Complex Variables
2022-11-02 v1
Abstract
We study the deformation theory of CR maps in the positive codimensional case. In particular, we study structural properties of the {\em mapping locus} of (germs of nondegenerate) holomorphic maps between generic real submanifolds and , defined to be the set of points which admit such a map with . We show that this set is semi-analytic and provide examples for which posseses (prescribed) singularities.
Cite
@article{arxiv.1906.02586,
title = {Deformations of CR maps and applications},
author = {Giuseppe della Sala and Bernhard Lamel and Michael Reiter},
journal= {arXiv preprint arXiv:1906.02586},
year = {2022}
}