On Bochner-Martinelli residue currents and their annihilator ideals

Details On Bochner-Martinelli residue currents and their annihilator ideals On Bochner-Martinelli residue currents and their annihilator ideals

2008-11-05

arxiv.org/abs/0811.0636v1

Mathematics

Complex Variables

22 pages, 1 figure

Scientific paper

We study the residue current R^f of Bochner-Martinelli type associated with a
tuple f=(f_1,...,f_m) of holomorphic germs at the origin in C^n, whose common
zero set equals the origin. Our main results are a geometric description of R^f
in terms of the Rees valuations associated with the ideal (f) generated by f
and a characterization of when the annihilator ideal of R^f equals (f).

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