Koszul blowup algebras associated to three-dimensional Ferrers diagrams
Commutative Algebra
2018-08-21 v2
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.
Keywords
Cite
@article{arxiv.1709.03251,
title = {Koszul blowup algebras associated to three-dimensional Ferrers diagrams},
author = {Kuei-Nuan Lin and Yi-Huang Shen},
journal= {arXiv preprint arXiv:1709.03251},
year = {2018}
}
Comments
30 pages, 4 figure and accepted to Journal of Algebra