Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896419 | Journal of Algebra | 2018 | 17 Pages |
Abstract
The notion of pg-ideals for normal surface singularities has been proved to be very useful. On the other hand, the core of ideals has been proved to be very important concept and also very mysterious one. However, the computation of the core of an ideal seems to be given only for very special cases. In this paper, we will give an explicit description of the core of pg-ideals of normal surface singularities. As a consequence, we give a characterization of rational singularities using the inclusion of the core of integrally closed ideals.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tomohiro Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida,