TY - JOUR
AU - Richard Lärkäng
PY - 2019/08/29
Y2 - 2020/08/09
TI - A comparison formula for residue currents
JF - MATHEMATICA SCANDINAVICA
JA - MathScand
VL - 125
IS - 1
SE - Articles
DO - 10.7146/math.scand.a-113032
UR - https://www.mscand.dk/article/view/113032
AB - Given two ideals $\mathcal {I}$ and $\mathcal {J}$ of holomorphic functions such that $\mathcal {I} \subseteq \mathcal {J}$, we describe a comparison formula relating the Andersson-Wulcan currents of $\mathcal {I}$ and $\mathcal {J}$. More generally, this comparison formula holds for residue currents associated to two generically exact Hermitian complexes together with a morphism between the complexes.One application of the comparison formula is a generalization of the transformation law for Coleff-Herrera products to Andersson-Wulcan currents of Cohen-Macaulay ideals. We also use it to give an analytic proof by means of residue currents of theorems of Hickel, Vasconcelos and Wiebe related to the Jacobian ideal of a holomorphic mapping.
ER -