Elementary construction of residue currents associated to Cohen-Macaulay ideals
Preprint, 2016

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.

Författare

Richard Lärkäng

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Emmanuel Mazzilli

Ämneskategorier

Matematik

Geometri

Matematisk analys