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Coleff-Herrera currents, duality, and noetherian operators

Mats Andersson

2011Bulletin de la Société mathématique de FranceMathematics被引 31开放获取

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摘要

Let I be a coherent subsheaf of a locally free sheaf O(E 0 ) and suppose that F = O(E 0 )/ I has pure codimension. Starting with a residue current R obtained from a locally free resolution of F we construct a vector-valued Coleff-Herrera current with support on the variety associated to F such that is in I if and only if = 0.

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Mats Andersson. Coleff-Herrera currents, duality, and noetherian operators[J]. Bulletin de la Société mathématique de France, 2011.

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DOI:https://doi.org/10.24033/bsmf.2618

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