English

A residue criterion for strong holomorphicity

Complex Variables 2009-03-31 v4

Abstract

We give a local criterion in terms of a residue current for strong holomorphicity of a meromorphic function on an arbitrary pure-dimensional analytic variety. This generalizes a result by A Tsikh for the case of a reduced complete intersection.

Keywords

Cite

@article{arxiv.0711.2863,
  title  = {A residue criterion for strong holomorphicity},
  author = {Mats Andersson},
  journal= {arXiv preprint arXiv:0711.2863},
  year   = {2009}
}
R2 v1 2026-06-21T09:44:42.747Z