Rees algebras of unit interval determinantal facet ideals

Authors

• Ayah Almousa, University of KentuckyFollow
• Kuei Nuan Lin, Pennsylvania State University - McKeesportFollow
• Whitney Liske, Saint Vincent CollegeFollow

Abstract

Using SAGBI basis techniques, we find Gröbner bases for the presentation ideals of the Rees algebras and special fiber rings of unit interval determinantal facet ideals. In particular, we show that unit interval determinantal facet ideals are of fiber type and that their special fiber rings are Koszul. Moreover, their Rees algebras and special fiber rings are normal Cohen-Macaulay domains and have rational singularities.

Document Type

Article

Publication Date

5-1-2024

Notes/Citation Information

Publisher Copyright: © 2023 Elsevier B.V.

Digital Object Identifier (DOI)

10.1016/j.jpaa.2023.107601

Archival?

Archival

Repository Citation

Almousa, Ayah; Lin, Kuei Nuan; and Liske, Whitney, "Rees algebras of unit interval determinantal facet ideals" (2024). Mathematics Faculty Publications. 68.
https://uknowledge.uky.edu/math_facpub/68