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

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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