Koszul blowup algebras associated to three-dimensional Ferrers diagrams

Kuei Nuan Lin, Yi Huang Shen

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)219-253
Number of pages35
JournalJournal of Algebra
Volume514
DOIs
StatePublished - Nov 15 2018

Fingerprint

Rees Algebra
Blow-up
Diagram
Ring
Three-dimensional
Algebra
Projection Property
Monomial Ideals
Fiber

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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Koszul blowup algebras associated to three-dimensional Ferrers diagrams. / Lin, Kuei Nuan; Shen, Yi Huang.

In: Journal of Algebra, Vol. 514, 15.11.2018, p. 219-253.

Research output: Contribution to journalArticle

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