Residue currents with prescribed annihilator ideals
Complex Variables
2007-11-15 v3
Abstract
Given a coherent ideal sheaf we construct locally a vector-valued residue current whose annihilator is precisely the given sheaf. In case is a complete intersection, is just the classical Coleff-Herrera product. By means of these currents we can extend various results, previously known for a complete intersection, to general ideal sheaves. Combining with integral formulas we obtain a residue version of the Ehrenpreis-Palamodov fundamental principle.
Cite
@article{arxiv.math/0511237,
title = {Residue currents with prescribed annihilator ideals},
author = {Mats Andersson and Elizabeth Wulcan},
journal= {arXiv preprint arXiv:math/0511237},
year = {2007}
}