Residue currents associated with weakly holomorphic functions
Journal article, 2012

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. This include the transformation law, the Poincaré–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.

Author

Richard Lärkäng

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Arkiv for Matematik

0004-2080 (ISSN)

Vol. 50 1 135-164

Subject Categories

Mathematics

Mathematical Analysis

DOI

10.1007/s11512-010-0141-1

More information

Created

10/7/2017