Various approaches to products of residue currents

Journal article, 2013

We describe various approaches to Coleff-Herrera products of residue currents Rj (of Cauchy-Fantappiè-Leray type) associated to holomorphic mappings fj. More precisely, we study to which extent (exterior) products of natural regularizations of the individual currents Rj yield regularizations of the corresponding Coleff-Herrera products. Our results hold globally on an arbitrary pure-dimensional complex space.