Explicit Versions of the Briançon-skoda Theorem with Variations

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.

Cite this paper

@inproceedings{Andersson2005ExplicitVO, title={Explicit Versions of the Briançon-skoda Theorem with Variations}, author={M G Andersson}, year={2005} }