THE MAXIMAL IDEAL CYCLES OVER COMPLETE INTERSECTION SURFACE SINGULARITIES OF BRIESKORN TYPE
THE MAXIMAL IDEAL CYCLES OVER COMPLETE INTERSECTION SURFACE SINGULARITIES OF BRIESKORN TYPE
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DOI：
10.2206/kyushujm.68.121
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发表时间：
2014-05
影响因子：
0.4
通讯作者：
Fanwu Meng;Tomohiro Okuma
中科院分区：
文献类型：
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作者：
Fanwu Meng;Tomohiro Okuma
对于Brieskorn型完全相交曲面奇点，给出了最小良好分辨率空间上的最大理想环和基本环的具体描述。然后给出了这些周期重合的条件，并给出了奇点为Kodaira奇点的条件。结果是Konno和Nagashima所得到的超曲面情况的自然推广。
For a complete intersection surface singularity of Brieskorn type, we give concrete descriptions of the maximal ideal cycle and the fundamental cycle on the minimal good resolution space. Then we provide a condition for these cycles to coincide, and a condition for the singularity to be a Kodaira singularity. The results are a natural extension of the hypersurface case obtained by Konno and Nagashima.