English

Parametric argument principle and its applications to CR functions and manifolds

Complex Variables 2015-04-07 v1

Abstract

A version of the argument principle is established for varieties of holomorphic mappings from the unit disc to Cn,\mathbb C^n, parametrized by points of real manifolds. Applications to characterization of CR functions and estimating CR dimensions of real submanifolds in Cn\mathbb C^n are given.

Keywords

Cite

@article{arxiv.1401.2050,
  title  = {Parametric argument principle and its applications to CR functions and manifolds},
  author = {Mark Agranovsky},
  journal= {arXiv preprint arXiv:1401.2050},
  year   = {2015}
}

Comments

Accepted in Advances in Mathematics. arXiv admin note: text overlap with arXiv:0704.2871