Regularizations of residue currents

Abstract

Under assumptions about complete intersection, we prove that Coleff-Herrera type currents satisfy a robust calculus in the sense that natural regularizations of such currents can be multiplied to yield regularizations of the Coleff-Herrera product of the currents.

References in corpus (3)

• Koppelman formulas and the $\dbar$-equation on an analytic space
• Uniqueness and factorization of Coleff-Herrera currents
• On the Briancon-Skoda theorem on a singular variety