Linearization of resolutions via products

doi:10.1016/j.jpaa.2019.04.013

KMS > 信息科学与技术学院 > PI研究组 > Manolis Tsakiris组

	Linearization of resolutions via products
	Tsakiris, Manolis C.1,2
	2020-01
发表期刊	JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN	0022-4049
卷号	224 期号:1 页码:42-52
发表状态	已发表
DOI	10.1016/j.jpaa.2019.04.013
摘要	Let S = k[x(1), . . . ,x(r)] be a polynomial ring over an infinite field k, and I a homogeneous ideal of S generated in degree d. We prove the existence of an integer n(I), such that for a set X of at least n(I) general points in Pr-1, the ideal I Pi(p is an element of X) I(p) has a linear resolution, where I(p) is the vanishing ideal of the point p is an element of Pr-1. We also prove that n(I )<= r(reg(I) - d), which can be seen as a generalization of the well-known fact that Im(s) always has a linear resolution for s >= reg(I) - d where m = (x(1), . . . , x(r)). (C) 2019 Published by Elsevier B.V.
关键词	Castelnuovo-Mumford regularity Products of linear ideals
收录类别	SCI ; SCIE
语种	英语
资助项目	ShanghaiTech University[2017F0203-000-16]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000488994600003
出版者	ELSEVIER
WOS关键词	CASTELNUOVO-MUMFORD REGULARITY ; COMPLEXITY ; BOUNDS
原始文献类型	Article
引用统计
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/50000
专题	信息科学与技术学院_PI研究组_Manolis Tsakiris组
通讯作者	Tsakiris, Manolis C.
作者单位	1.ShanghaiTech Univ, Sch Informat Sci & Technol, 393 Huaxia Middle Rd, Shanghai, Peoples R China 2.Univ Genoa, Dept Math, Via Dodecaneso 35, I-16146 Genoa, Italy
第一作者单位	信息科学与技术学院
通讯作者单位	信息科学与技术学院
第一作者的第一单位	信息科学与技术学院
推荐引用方式 GB/T 7714	Tsakiris, Manolis C.. Linearization of resolutions via products[J]. JOURNAL OF PURE AND APPLIED ALGEBRA,2020,224(1):42-52.
APA	Tsakiris, Manolis C..(2020).Linearization of resolutions via products.JOURNAL OF PURE AND APPLIED ALGEBRA,224(1),42-52.
MLA	Tsakiris, Manolis C.."Linearization of resolutions via products".JOURNAL OF PURE AND APPLIED ALGEBRA 224.1(2020):42-52.