Holomorphic extension of meromorphic mappings along real analytic hypersurfaces
Complex Variables
2020-02-28 v2
Abstract
Let be a real analytic hypersurface, be a strongly pseudoconvex real algebraic hypersurface of the special form and be a meromorphic mapping in a neighborhood of a point which is holomorphic in one side of . Assuming some additional conditions for the mapping on the hypersurface , we proved that has a holomorphic extension to . This result may be used to show the regularity of CR mappings between real hypersurfaces of different dimensions.
Keywords
Cite
@article{arxiv.1903.04633,
title = {Holomorphic extension of meromorphic mappings along real analytic hypersurfaces},
author = {Ozcan Yazici},
journal= {arXiv preprint arXiv:1903.04633},
year = {2020}
}
Comments
Statement of Theorem 1.1 was corrected and some typos were fixed upon the referee's comments