Explicit versions of the Briançon-Skoda theorem with variations

Mats Andersson

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Explicit versions of the Briançon-Skoda theorem with variations

Mats Andersson

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Abstract

We give new a proof of the general Briançon-Skoda theorem about ideals of holomorphic functions by means of multivariable residue calculus. The method gives new variants of this theorem for products of ideals. Moreover, we obtain a related result for the ideal generated by the the subdeterminants of a matrix-valued generically surjective holomorphic function, generalizing the duality theorem for a complete intersection. We also provide explicit versions of the various results, including the general Briançon-Skoda theorem, with integral representation formulas.

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Mats Andersson. 2005-11-09. Explicit versions of the Briançon-Skoda theorem with variations. https://arxiv.org/abs/math/0503257

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