Resolution of ideals associated to subspace arrangements
文献类型：期刊论文
| 作者 | Conca, Aldo1; Tsakiris, Manolis C.1,2 |
| 刊名 | ALGEBRA & NUMBER THEORY
 |
| 出版日期 | 2022 |
| 卷号 | 16期号:5页码:1120-1140 |
| 关键词 | subspace arrangements free resolutions |
| ISSN号 | 1937-0652 |
| DOI | 10.2140/ant.2022.16.1121 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000848196700004 |
| 出版者 | MATHEMATICAL SCIENCE PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61043]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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