Blowup algebras of determinantal modules

Kuei Nuan Lin; Yi Huang Shen

doi:10.1016/j.jalgebra.2026.02.033

Blowup algebras of determinantal modules

Kuei Nuan Lin
, Yi Huang Shen

Penn State Greater Allegheny

Research output: Contribution to journal › Article › peer-review

Abstract

We study the blowup algebras of the modules that are direct sums of ideals generated by either maximal minors of a ladder matrix or unit interval determinantal ideals. Specifically, we determine Gröbner bases for the presentation ideals of multi-Rees algebras and their special fiber rings. Our analysis reveals that the multi-blowup algebras are Koszul Cohen–Macaulay normal domains, possess rational singularities in characteristic zero, and are F-rational in positive characteristic.

Original language	English (US)
Pages (from-to)	632-659
Number of pages	28
Journal	Journal of Algebra
Volume	697
DOIs	https://doi.org/10.1016/j.jalgebra.2026.02.033
State	Published - Jul 1 2026

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2026.02.033

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AB - We study the blowup algebras of the modules that are direct sums of ideals generated by either maximal minors of a ladder matrix or unit interval determinantal ideals. Specifically, we determine Gröbner bases for the presentation ideals of multi-Rees algebras and their special fiber rings. Our analysis reveals that the multi-blowup algebras are Koszul Cohen–Macaulay normal domains, possess rational singularities in characteristic zero, and are F-rational in positive characteristic.

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UR - https://www.scopus.com/pages/publications/105032850367#tab=citedBy

U2 - 10.1016/j.jalgebra.2026.02.033

DO - 10.1016/j.jalgebra.2026.02.033

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VL - 697

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

Blowup algebras of determinantal modules

Abstract

All Science Journal Classification (ASJC) codes

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