Residue currents with prescribed annihilator ideals
Artikel i vetenskaplig tidskrift, 2007

Given a coherent ideal sheaf J we construct locally a vector-valued residue current R whose annihilator is precisely the given sheaf. In case J is a complete intersection, R 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. © 2007 Elsevier Masson SAS. All rights reserved.

division

polynomial ideals

holomorphic-functions

resolutions

Författare

Mats Andersson

Chalmers, Matematiska vetenskaper

Göteborgs universitet

Elizabeth Wulcan

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Annales Scientifiques de lEcole Normale Superieure

0012-9593 (ISSN)

Vol. 40 985-1007

Ämneskategorier

Matematik

DOI

10.1016/j.ansens.2007.11.001