Consider the polynomial ring $S=\mathbb{K}[x_1,\ldots, x_n]$ over a field $\mathbb{K}$. For any equigenerated monomial ideal $I \subset S$ with the defining ideal $J$ of the fiber cone $\F(I)$ generated by quadratic binomials, we introduce a matrix. The key observation is that the set of binomial $2$-minors of this matrix serves as a generating set for $J$. This framework in particular provides a characterization of the fiber cone for Freiman ideals, as well as offering a specific characterization for the fiber cone of sortable ideals.
Abdolmaleki, R. and Zaare-Nahandi, R. (2025). Toric ideals which are determinantal. Journal of Algebra and Related Topics, (), -. doi: 10.22124/jart.2025.27189.1658
MLA
Abdolmaleki, R. , and Zaare-Nahandi, R. . "Toric ideals which are determinantal", Journal of Algebra and Related Topics, , , 2025, -. doi: 10.22124/jart.2025.27189.1658
HARVARD
Abdolmaleki, R., Zaare-Nahandi, R. (2025). 'Toric ideals which are determinantal', Journal of Algebra and Related Topics, (), pp. -. doi: 10.22124/jart.2025.27189.1658
CHICAGO
R. Abdolmaleki and R. Zaare-Nahandi, "Toric ideals which are determinantal," Journal of Algebra and Related Topics, (2025): -, doi: 10.22124/jart.2025.27189.1658
VANCOUVER
Abdolmaleki, R., Zaare-Nahandi, R. Toric ideals which are determinantal. Journal of Algebra and Related Topics, 2025; (): -. doi: 10.22124/jart.2025.27189.1658
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