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arXiv · 1211.3617

Residue currents with prescribed annihilator ideals on singular varieties

Richard Lärkäng
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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.

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Richard Lärkäng. 2014-11-26. Residue currents with prescribed annihilator ideals on singular varieties. https://doi.org/10.1007/s00209-014-1371-x

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