Resolution of ideals associated to subspace arrangements

doi:10.2140/ant.2022.16.1121

CSpace

	Resolution of ideals associated to subspace arrangements
	Conca, Aldo 1; Tsakiris, Manolis C.1,2
	2022
发表期刊	ALGEBRA & NUMBER THEORY
ISSN	1937-0652
卷号	16 期号:5 页码:1120-1140
摘要	Let I-1, ... , In be ideals generated by linear forms in a polynomial ring over an infinite field and let J = I-1, ... , In. We describe a minimal free resolution of J and show that it is supported on a polymatroid obtained from the underlying representable polymatroid by means of the so-called Dilworth truncation. Formulas for the projective dimension and Betti numbers are given in terms of the polymatroid as well as a characterization of the associated primes. Along the way we show that J has linear quotients. In fact, we do this for a large class of ideals J(P), where P is a certain poset ideal associated to the underlying subspace arrangement.
关键词	subspace arrangements free resolutions
DOI	10.2140/ant.2022.16.1121
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000848196700004
出版者	MATHEMATICAL SCIENCE PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61044
专题	中国科学院数学与系统科学研究院
通讯作者	Conca, Aldo
作者单位	1.Univ Genoa, Dipartimento Matemat, Genoa, Italy 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Conca, Aldo,Tsakiris, Manolis C.. Resolution of ideals associated to subspace arrangements[J]. ALGEBRA & NUMBER THEORY,2022,16(5):1120-1140.
APA	Conca, Aldo,&Tsakiris, Manolis C..(2022).Resolution of ideals associated to subspace arrangements.ALGEBRA & NUMBER THEORY,16(5),1120-1140.
MLA	Conca, Aldo,et al."Resolution of ideals associated to subspace arrangements".ALGEBRA & NUMBER THEORY 16.5(2022):1120-1140.