On the structure of the Bochner–Martinelli residue currents

Abstract

We study residue currents of the Bochner–Martinelli type using their relationship to the Mellin transforms of residue integrals. We present a structure formula for residue currents associated with dimension-reducing monomial mappings: they can be represented as sums of products of simple residue currents, principal value currents, and hypergeometric functions.