English

Hartogs' theorem on separate holomorphicity for projective spaces

Complex Variables 2007-05-23 v1

Abstract

If a mapping of several complex variables into projective space is holomorphic in each pair of variables, then it is globally holomorphic.

Keywords

Cite

@article{arxiv.math/0607503,
  title  = {Hartogs' theorem on separate holomorphicity for projective spaces},
  author = {P. M. Gauthier and E. S. Zeron},
  journal= {arXiv preprint arXiv:math/0607503},
  year   = {2007}
}

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3 pages