A residue criterion for strong holomorphicity

Details A residue criterion for strong holomorphicity A residue criterion for strong holomorphicity

2007-11-19

arxiv.org/abs/0711.2863v4

Mathematics

Complex Variables

Scientific paper

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.

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