Residue currents with prescribed annihilator ideals

Mats Andersson; Elizabeth Wulcan

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Residue currents with prescribed annihilator ideals

Mats Andersson·Elizabeth Wulcan

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Abstract

Given a coherent ideal sheaf $J$ we construct locally a vector-valued residue current $R$ whose annihilator is precisely the given sheaf. In case $J$ is a complete intersection, $R$ is just the classical Coleff-Herrera product. By means of these currents we can extend various results, previously known for a complete intersection, to general ideal sheaves. Combining with integral formulas we obtain a residue version of the Ehrenpreis-Palamodov fundamental principle.

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BibTeX RIS

Mats Andersson, Elizabeth Wulcan. 2007-11-15. Residue currents with prescribed annihilator ideals. https://arxiv.org/abs/math/0511237

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