Residue currents associated with weakly holomorphic functions
Complex Variables
2013-12-13 v2
Abstract
We construct Coleff-Herrera products and Bochner-Martinelli type residue currents associated with a tuple 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 when defines a complete intersection.
Cite
@article{arxiv.0910.3589,
title = {Residue currents associated with weakly holomorphic functions},
author = {Richard Lärkäng},
journal= {arXiv preprint arXiv:0910.3589},
year = {2013}
}
Comments
28 pages. Updated with some corrections from the revision process. In particular, corrected and clarified some things in Section 5 and 6 regarding products of weakly holomorphic functions and currents, and the definition of the Bochner-Martinelli type currents