Blowup algebras of determinantal modules
Commutative Algebra
2025-07-22 v2
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 Gr\"{o}bner 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.
Cite
@article{arxiv.2408.01903,
title = {Blowup algebras of determinantal modules},
author = {Kuei-Nuan Lin and Yi-Huang Shen},
journal= {arXiv preprint arXiv:2408.01903},
year = {2025}
}
Comments
The proofs have been updated and streamlined. Your comments are welcome