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Toric ideals which are determinantal | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، Special Issue- Dedicated to the memory of Jürgen Herzog (1941-2024).، تیر 2026، صفحه 169-181 اصل مقاله (191.49 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.27189.1658 | ||
| نویسندگان | ||
| R. Abdolmaleki* 1؛ R. Zaare-Nahandi2 | ||
| 1Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran | ||
| 2Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan,Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Fiber cone؛ Toric ideal؛ Sortable ideal؛ Freiman ideal | ||
| مراجع | ||
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