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Elementary construction of residue currents associated to Cohen-Macaulay ideals

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Authors Richard Lärkäng
Emmanuel Mazzilli
Publication year 2016
Published at Department of Mathematical Sciences, Mathematics
Language en
Links arxiv.org/abs/1605.09217
arxiv.org/pdf/1605.09217.pdf
Subject categories Algebra and geometry, Mathematical Analysis, Geometry

Abstract

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.

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