Elementary construction of residue currents associated to Cohen-Macaulay ideals
Complex Variables
2018-06-11 v2
Abstract
For a Cohen-Macaulay ideal of holomorphic functions, we construct by elementary means residue currents whose annihilator is precisely the given ideal. We give two proofs that the currents have the prescribed annihilator, one using the theory of linkage, and another using an explicit division formula involving these residue currents to express the ideal membership.
Keywords
Cite
@article{arxiv.1605.09217,
title = {Elementary construction of residue currents associated to Cohen-Macaulay ideals},
author = {Richard Lärkäng and Emmanuel Mazzilli},
journal= {arXiv preprint arXiv:1605.09217},
year = {2018}
}
Comments
11 pages. Final version to appear in Annales de Fourier