Deformations of CR maps and applications
- Author(s)
- Giuseppe Della Sala, Bernhard Lamel, Michael Reiter
- 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 possesses (prescribed) singularities.
- Organisation(s)
- Department of Mathematics
- External organisation(s)
- American University of Beirut
- Journal
- Asian Journal of Mathematics
- Volume
- 25
- Pages
- 665-682
- No. of pages
- 18
- ISSN
- 1093-6106
- DOI
- https://doi.org/10.4310/AJM.2021.v25.n5.a3
- Publication date
- 2021
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101009 Geometry
- Keywords
- ASJC Scopus subject areas
- Applied Mathematics, Mathematics(all)
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/deformations-of-cr-maps-and-applications(22dcf55f-da59-473e-b2ac-6af5cfeaa600).html