Computing residue currents of monomial ideals using comparison formulas
Journal article, 2014

Given a free resolution of an ideal a of holomorphic functions, one can construct a vector-valued residue current R, which coincides with the classical Coleff–Herrera product if a is a complete intersection ideal and whose annihilator ideal is precisely a. We give a complete description of R in the case when a is an Artinian monomial ideal and the resolution is the hull resolution (or a more general cellular resolution). The main ingredient in the proof is a comparison formula for residue currents due to the first author. By means of this description, we obtain in the monomial case a current version of a factorization of the fundamental cycle of a due to Lejeune-Jalabert.


Richard Lärkäng

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Elizabeth Wulcan

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Bulletin des Sciences Mathematiques

0007-4497 (ISSN)

Vol. 138 3 376-392

Subject Categories



Mathematical Analysis



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