Residue currents associated with weakly holomorphic functions

Details Residue currents associated with weakly holomorphic functions Residue currents associated with weakly holomorphic functions

2009-10-19

arxiv.org/abs/0910.3589v1

Mathematics

Complex Variables

Scientific paper

We construct Coleff-Herrera products and Bochner-Martinelli type residue currents associated with a tuple $f$ of weakly holomorphic functions, and show that these currents satisfy basic properties from the (strongly) holomorphic case, as the transformation law, the Poincar\'e-Lelong formula and the equivalence of the Coleff-Herrera product and the Bochner-Martinelli type residue current associated with $f$ when $f$ defines a complete intersection.

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