On weighted Bochner-Martinelli residue currents

Autores: Elizabeth Wulcan
Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 110, Nº 1, 2012, págs. 18-34
Idioma: inglés
DOI: 10.7146/math.scand.a-15193
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Resumen
- We study the weighted Bochner-Martinelli residue current Rp(f) associated with a sequence f=(f1,…,fm) of holomorphic germs at 0∈Cn, whose common zero set equals the origin, and p=(p1,…,pm)∈Nm. Our main results are a description of Rp(f) in terms of the Rees valuations of the ideal generated by (fp11,…,fpmm) and an explicit description of Rp(f) when f is monomial. For a monomial sequence f we show that Rp(f) is independent of p if and only if f is a regular sequence.