Elementary construction of residue currents associated to Cohen-Macaulay ideals
Artikel i vetenskaplig tidskrift, 2018

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.

Cohen-Macaulay ideals

Theory of integral representations

Residue currents

Explicit construction

Duality principle


Richard Lärkäng

Chalmers, Matematiska vetenskaper, Algebra och geometri

Emmanuel Mazzilli

Lille I: Universite des Sciences et Technologies de Lille

Annales de lInstitut Fourier

0373-0956 (ISSN)

Vol. 68 377-391


Algebra och logik


Matematisk analys