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.
Explicit construction
Cohen-Macaulay ideals
Theory of integral representations
Duality principle
Residue currents
Författare
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 1 377-391Ämneskategorier
Algebra och logik
Geometri
Matematisk analys
DOI
10.5802/aif.3164