Residue currents associated with weakly holomorphic functions
Preprint, 2009

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.


Richard Lärkäng

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Subject Categories

Mathematical Analysis

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