English

Holomorphic extension of meromorphic mappings along real analytic hypersurfaces

Complex Variables 2020-02-28 v2

Abstract

Let MCnM\subset \mathbb C^n be a real analytic hypersurface, MCNM'\subset \mathbb C^N (Nn)(N\geq n) be a strongly pseudoconvex real algebraic hypersurface of the special form and FF be a meromorphic mapping in a neighborhood of a point pMp\in M which is holomorphic in one side of MM. Assuming some additional conditions for the mapping FF on the hypersurface MM, we proved that FF has a holomorphic extension to pp. 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