English

Regularity of CR-mappings into Levi-degenerate hypersurfaces

Complex Variables 2020-06-15 v2

Abstract

We provide regularity results for CR-maps between real hypersurfaces in complex spaces of different dimension with a Levi-degenerate target. 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.

Keywords

Cite

@article{arxiv.1609.00652,
  title  = {Regularity of CR-mappings into Levi-degenerate hypersurfaces},
  author = {Ilya Kossovskiy and Bernhard Lamel and Ming Xiao},
  journal= {arXiv preprint arXiv:1609.00652},
  year   = {2020}
}

Comments

23 pages, to appear in Comm. Ana. Geom