English

Residue currents with prescribed annihilator ideals on singular varieties

Complex Variables 2015-10-13 v3

Abstract

Given an ideal J\mathcal{J} on a complex manifold, Andersson and Wulcan constructed a current RJR^\mathcal{J} such that the annihilator of RJR^\mathcal{J} is J\mathcal{J}, generalizing the duality theorem for Coleff-Herrera products. We describe a way to generalize this construction to ideals on singular varieties.

Cite

@article{arxiv.1211.3617,
  title  = {Residue currents with prescribed annihilator ideals on singular varieties},
  author = {Richard Lärkäng},
  journal= {arXiv preprint arXiv:1211.3617},
  year   = {2015}
}

Comments

31 pages. Version 3: Minor corrections from the review process

R2 v1 2026-06-21T22:38:58.996Z