Resolution of ideals associated to subspace arrangements

doi:None

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

	Resolution of ideals associated to subspace arrangements
	Aldo Conca ; Manolis C. Tsakiris
	2021
发表期刊	ALGEBRA & NUMBER THEORY (IF:0.9[JCR-2023],1.1[5-Year])
ISSN	1937-0652
发表状态	正式接收
DOI	None
摘要	Let I1, . . . , In be ideals generated by linear forms in a polynomial ring over an infinite field and let J = I1 · · · 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 JP, where P is a certain poset ideal associated to the underlying subspace arrangement.
收录类别	SCI
语种	英语
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/133099
专题	信息科学与技术学院_PI研究组_Manolis Tsakiris组
作者单位	1.University of Genova 2.ShanghaiTech University
推荐引用方式 GB/T 7714	Aldo Conca,Manolis C. Tsakiris. Resolution of ideals associated to subspace arrangements[J]. ALGEBRA & NUMBER THEORY,2021.
APA	Aldo Conca,&Manolis C. Tsakiris.(2021).Resolution of ideals associated to subspace arrangements.ALGEBRA & NUMBER THEORY.
MLA	Aldo Conca,et al."Resolution of ideals associated to subspace arrangements".ALGEBRA & NUMBER THEORY (2021).