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Residue currents of the Bochner-Martinelli type.

Mikael Passare, August Tsikh, Alain Yger (2000)

Publicacions Matemàtiques

Our objective is to construct residue currents from Bochner-Martinelli type kernels; the computations hold in the non complete intersection case and provide a new and more direct approach of the residue of Coleff-Herrera in the complete intersection case; computations involve crucial relations with toroidal varieties and multivariate integrals of the Mellin-Barnes type.

Resultant and the Łojasiewicz exponent

J. Chądzyński, T. Krasiński (1995)

Annales Polonici Mathematici

An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.

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