Koszul blowup algebras associated to three-dimensional Ferrers diagrams

2017/09/11 by Lin, Kuei-Nuan, Shen, Yi-Huang
#05E40 #05E45 #13P10 #14M25 #14N10 #16S37 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13F55 #Secondary 14M05

paper · doi:10.48550/arxiv.1709.03251

Abstract

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.

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