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

Residue currents with prescribed annihilator ideals on singular varieties