On Bochner-Martinelli residue currents and their annihilator ideals

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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).
22 pages, 1 figure

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Complex Variables, 32A26; 32A27; 32S45

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http://salesiana.dossiersoluciones.com/handle/123456789/173235

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.0636
 http://arxiv.org/abs/0811.0636

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arXiv