Gorenstein Special Fiber Rings of Ladder Determinantal Modules
Commutative Algebra
2026-01-21 v1
Abstract
A ladder determinantal module is an arbitrary direct sum of ideals of maximal minors of a generic ladder matrix. In this article, we give necessary and sufficient conditions for the special fiber ring of such modules to be Gorenstein. These conditions are expressed in terms of data obtained from the underlying matrix.
Keywords
Cite
@article{arxiv.2601.13483,
title = {Gorenstein Special Fiber Rings of Ladder Determinantal Modules},
author = {Louiza Fouli and Kuei-Nuan Lin and Haydee Lindo and Maral Mostafazadehfard},
journal= {arXiv preprint arXiv:2601.13483},
year = {2026}
}
Comments
14 pages, 1 figure, to appear in Proceedings of the American Mathematical Society