Containment Problem for Quasi Star Configurations of Points in P^2

作     者：Hassan Haghighi Mohammad Mosakhani 

作者机构：Faculty of MathematicsK.N.Toosi University of TechnologyTehranIran 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2018年第25卷第4期

页      面：661-670页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

主　　题：symbolic power resurgence Waldschmidt constant quasi star configuration containment problem 

摘      要：In this paper,the containment problem for the defining ideal of a special type of zero-dimensional subscheme of P^2,the so-called quasi star configuration,is investigated.Some sharp bounds for the resurgence of these types of ideals are given.As an application of this result,for every real number 0ε1/2,we construct an infinite family of homogeneous radical ideals of points in K[P^2]such that their resurgences lie in the interval[2-ε,2).Moreover,the Castelnuovo-Mumford regularity of all ordinary powers of defining ideal of quasi star configurations are determined.In particular,it is shown that all of these ordinary powers have a linear resolution.