Residue currents associated with weakly holomorphic functions
Artikel i vetenskaplig tidskrift, 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.

Författare

Richard Lärkäng

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Arkiv for Matematik

0004-2080 (ISSN)

Vol. 50 1 135-164

Ämneskategorier

Matematik

Matematisk analys

DOI

10.1007/s11512-010-0141-1