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arXiv · 1107.0388

Global effective versions of the Brian\ccon-Skoda-Huneke theorem

Mats Andersson·Elizabeth Wulcan
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Abstract

We prove global effective versions of the Brian\ccon-Skoda-Huneke theorem. Our results extend, to singular varieties, a result of Hickel on the membership problem in polynomial ideals in $\mathbf C^n$, and a related theorem of Ein and Lazarsfeld for smooth projective varieties. The proofs rely on known geometric estimates and new results on multivariable residue calculus.

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Mats Andersson, Elizabeth Wulcan. 2011-07-02. Global effective versions of the Brian\ccon-Skoda-Huneke theorem. https://arxiv.org/abs/1107.0388

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