Gorenstein Special Fiber Rings of Ladder Determinantal Modules
Louiza Fouli, Kuei-Nuan Lin, Haydee Lindo, Maral Mostafazadehfard
TL;DR
This paper characterizes when the special fiber ring of ladder determinantal modules is Gorenstein, providing explicit conditions based on the matrix data.
Contribution
It offers necessary and sufficient conditions for Gorenstein property of special fiber rings of ladder determinantal modules, a novel characterization in this area.
Findings
Conditions for Gorenstein property derived from matrix data
Explicit criteria based on ladder matrix structure
Advances understanding of algebraic properties of determinantal modules
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.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Advanced Combinatorial Mathematics