Abstract
We show that the ideal generated by the (n - 2) minors of a general symmetric n by n matrix has an initial ideal that is the Stanley–Reisner ideal of the boundary complex of a simplicial polytope and has the same graded Betti numbers.
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Conca, A., de Negri, E. & Welker, V. A Gorenstein simplicial complex for symmetric minors. Isr. J. Math. 212, 237–257 (2016). https://doi.org/10.1007/s11856-016-1285-x
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DOI: https://doi.org/10.1007/s11856-016-1285-x