2015/11/04 by Tomohiro Okuma, Okuma, Tomohiro, Kei-ichi Watanabe +3
Computer Science · Mathematics · #13A15 #13B22 #13H15 (Secondary) #14B05 (Primary) #14J17 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1511.01553
openalex publication_date 2015/11/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.