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arxiv: 1211.3617 · v3 · pith:EMCL44LMnew · submitted 2012-11-15 · 🧮 math.CV

Residue currents with prescribed annihilator ideals on singular varieties

classification 🧮 math.CV
keywords mathcalannihilatoridealssingularvarietiesanderssoncoleff-herreracomplex
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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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