Deformations of CR maps and applications
Abstract
We study the deformation theory of CR maps in the positive codimensional case. In particular, we study structural properties of the mapping locus E of (germs of nondegenerate) holomorphic maps H (M,p) M' between generic real submanifolds M ⊂ CN and M' ⊂ CN', defined to be the set of points p' ∈ M' which admit such a map with H(p) = p'. We show that this set E is semi-analytic and provide examples for which E posseses (prescribed) singularities.
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