Toric ideals which are determinantal
Reza Abdolmaleki, Rashid Zaare-Nahandi

TL;DR
This paper introduces a matrix-based approach to characterize the fiber cone of certain monomial ideals, specifically sortable and Freiman ideals, when their defining ideal is generated by quadratic binomials.
Contribution
It provides a new matrix construction that generates the defining ideal of the fiber cone for specific classes of monomial ideals.
Findings
Matrix construction generates the fiber cone ideal.
Characterization of fiber cones for sortable ideals.
Characterization of fiber cones for Freiman ideals.
Abstract
Given any equigenerated monomial ideal with the property that the defining ideal of the fiber cone of is generated by quadratic binomials, we introduce a matrix such that the set of its binomial -minors is a generating set of . In this way, we characterize the fiber cone of sortable and Freiman ideals.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Combinatorial Mathematics · Algebraic Geometry and Number Theory
