Koszul blowup algebras associated to three-dimensional Ferrers diagrams

JOURNAL OF ALGEBRA

卷:514

Article

Lin, Kuei-Nuan¹  Shen, Yi-Huang^2,3 

[1] Penn State Univ, Dept Math, Mckeesport, PA 15132 USA

[2] Chinese Acad Sci, Key Lab Wu Wen Tsun Math, Beijing, Peoples R China

[3] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

关键词: Special fiber;    Toric rings;    Blowup algebras;    Ferrers graph;    Koszul;   

DOI  :  10.1016/j.jalgebra.2018.08.013

来源: Elsevier

【 摘 要 】

We investigate the Rees algebra and the toric ring of the squarefree monomial ideal associated to the three-dimensional Ferrers diagram. Under the projection property condition, we describe explicitly the presentation ideals of the Rees algebra and the toric ring. We show that the toric ring is a Koszul Cohen-Macaulay normal domain, while the Rees algebra is Koszul and the defining ideal is of fiber type. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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