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


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 1 377-391

Subject Categories

Algebra and Logic


Mathematical Analysis



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