Residue currents with prescribed annihilator ideals on singular varieties

Abstract

Given an ideal $\mathcal{J}$ on a complex manifold, Andersson and Wulcan constructed a current $R^{\mathcal{J}}$ such that the annihilator of $R^{\mathcal{J}}$ is $\mathcal{J}$, generalizing the duality theorem for Coleff-Herrera products. We describe a way to generalize this construction to ideals on singular varieties.

31 pages. Version 3: Minor corrections from the review process

References in corpus (2)

• Residue currents associated with weakly holomorphic functions
• On the duality theorem on an analytic variety