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arXiv · 1605.09217

Elementary construction of residue currents associated to Cohen-Macaulay ideals

Richard Lärkäng·Emmanuel Mazzilli
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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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Richard Lärkäng, Emmanuel Mazzilli. 2016-05-30. Elementary construction of residue currents associated to Cohen-Macaulay ideals. https://doi.org/10.5802/aif.3164

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