Elementary construction of residue currents associated to Cohen-Macaulay ideals
Journal article, 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
Author
Richard Lärkäng
Chalmers, Mathematical Sciences, Algebra and geometry
Emmanuel Mazzilli
Lille 1 University of Science and Technology
Annales de lInstitut Fourier
0373-0956 (ISSN)
Vol. 68 1 377-391Subject Categories
Algebra and Logic
Geometry
Mathematical Analysis
DOI
10.5802/aif.3164