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arXiv · 1709.03251

Koszul blowup algebras associated to three-dimensional Ferrers diagrams

Kuei-Nuan Lin·Yi-Huang Shen
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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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Kuei-Nuan Lin, Yi-Huang Shen. 2017-09-11. Koszul blowup algebras associated to three-dimensional Ferrers diagrams. https://arxiv.org/abs/1709.03251

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