A Note on the Singularities of Residue Currents of Integrally Closed Ideals
Journal article, 2020

Given a free resolution of an ideal a of holomorphic functions, there is an associated residue current R that coincides with the classical Coleff-Herrera product if a is a complete intersection ideal and whose annihilator ideal equals a. In the case when a is an Artinian monomial ideal, we show that the singularities of R are small in a certain sense if and only if a is integrally closed.

Monomial ideals

Residue currents

Integrally closed ideals


Elizabeth Wulcan

Chalmers, Mathematical Sciences, Algebra and geometry

Acta Mathematica Vietnamica

0251-4184 (ISSN) 23154144 (eISSN)

Vol. 45 1 281-289

Subject Categories

Algebra and Logic

General Literature Studies

Mathematical Analysis



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