Koszul blowup algebras associated to three-dimensional Ferrers diagrams

Kuei Nuan Lin, Yi Huang Shen

Research output: Contribution to journalArticlepeer-review

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

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'Koszul blowup algebras associated to three-dimensional Ferrers diagrams'. Together they form a unique fingerprint.

Cite this