English

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

Complex Variables 2014-11-04 v4 Algebraic Geometry

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 Cn\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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Cite

@article{arxiv.1107.0388,
  title  = {Global effective versions of the Brian\ccon-Skoda-Huneke theorem},
  author = {Mats Andersson and Elizabeth Wulcan},
  journal= {arXiv preprint arXiv:1107.0388},
  year   = {2014}
}

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33 pages