Regularity of CR-mappings of codimension one into Levi-degenerate hypersurfaces

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	KOSSOVSKIY Ilya LAMEL Bernhard LAMEL Bernhard XIAO Ming XIAO Ming
Year of publication	2021
Type	Article in Periodical
Magazine / Source	Communications in Analysis and Geometry
MU Faculty or unit	Faculty of Science
Citation
Web	https://www.intlpress.com/site/pub/pages/journals/items/cag/content/vols/0029/0001/a005/index.php
Doi	http://dx.doi.org/10.4310/CAG.2021.v29.n1.a5
Keywords	CR-embeddings; holomorphic mappings; real hypersurfaces
Description	We provide regularity results for CR-maps from a real hypersur- face in n-dimensional complex space to a Levi-degenerate target hypersurface in a n + 1-dimensional space. We address both the real-analytic and the smooth case. Our results allow immediate applications to the study of proper holomorphic maps between Bounded Symmetric Domains.
Related projects:	Klasifikační problémy pro reálné nadplochy v komplexním prostoru