Residue currents with prescribed annihilator ideals

Simple item page
dc.creatorAndersson, Mats
dc.creatorWulcan, Elizabeth
dc.date2005-11-09
dc.date2007-11-15
dc.date.accessioned2026-07-07T08:43:00Z
dc.date.available2026-07-07T08:43:00Z
dc.descriptionGiven 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.
dc.identifierhttps://arxiv.org/abs/math/0511237
dc.identifierhttp://arxiv.org/abs/math/0511237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142166
dc.subjectComplex Variables
dc.subject32A26; 32A27; 32C35
dc.titleResidue currents with prescribed annihilator ideals
dc.typetext

Files

Collections

arXiv