Products of residue currents of Cauchy-Fantappiè-Leray type

Details Products of residue currents of Cauchy-Fantappiè-Leray type Products of residue currents of Cauchy-Fantappiè-Leray type

2005-12-02

arxiv.org/abs/math/0512062v1

Mathematics

Complex Variables

21 pages

Scientific paper

With a given holomorphic section of a Hermitian vector bundle, one can associate a residue current by means of Cauchy-Fantappi\`e-Leray type formulas. In this paper we define products of such residue currents. We prove that, in the case of a complete intersection, the product of the residue currents of a tuple of sections coincides with the residue current of the direct sum of the sections.

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