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arXiv · 0910.3589

Residue currents associated with weakly holomorphic functions

Richard Lärkäng
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Abstract

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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Richard Lärkäng. 2009-10-19. Residue currents associated with weakly holomorphic functions. https://doi.org/10.1007/s11512-010-0141-1

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