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 ...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 0<ε<1/2,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.展开更多
该文首先介绍了软件配置管理相关知识,接着介绍了在工程实践中,如何借助Borland Star Team 16.0平台实现软件配置管理,并对Star Team配置管理过程的关键步骤进行了详细说明。实践证明,软件配置管理在确保软件产品在软件生命周期中的完...该文首先介绍了软件配置管理相关知识,接着介绍了在工程实践中,如何借助Borland Star Team 16.0平台实现软件配置管理,并对Star Team配置管理过程的关键步骤进行了详细说明。实践证明,软件配置管理在确保软件产品在软件生命周期中的完整性和可追溯性等方面具有明显的优势。展开更多
文摘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 0<ε<1/2,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.