关于加权Bochner-Martinelli剩余流
On weighted Bochner-Martinelli residue currents
摘要：
本文研究了序列f=（f_1，.，.. f_m），其公共零点集等于原点，且p=（p_1，.，p_m）\in N^n.我们的主要结果是利用（f_1^{p_1}，. f_m^{p_m}）和f为单项式时R^p（f）的显式描述。对于单项序列f，我们证明了R^p（f）与p无关当且仅当f是正则序列.
英文摘要：
We study the weighted Bochner-Martinelli residue current R^p(f) associated with a sequence f=(f_1,...,f_m) of holomorphic germs at the origin in C^n, whose common zero set equals the origin, and p=(p_1,..., p_m)\in N^n. Our main results are a description of R^p(f) and its annihilator ideal in terms of the Rees valuations of the ideal generated by (f_1^{p_1},..., f_m^{p_m}) and an explicit description of R^p(f) when f is monomial. For a monomial sequence f we show that R^p(f) is independent of p if and only if f is a regular sequence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
