“School of Mathematics”
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| Paper IPM / M / 18146 |
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| Abstract: | |
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Consider the polynomial ring S = K[x_1, . . . , x_n] over a field K. For any equigenerated monomial ideal I â?? 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.
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