A calculus for meromorphic currents.
Residues, currents, and their relation to ideals of holomorphic functions.
A new division formula for complete intersections
We provide a new division formula for holomorphic mappings. It is given in terms of residue currents and has the advantage of being more explicit and simpler to prove than the previously known formulas.
Complex Kergin interpolation and the Fantappiè transform.
Residue currents of the Bochner-Martinelli type.
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.
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