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math.AC2026
Symmetric-determinant apolarity in odd characteristic
Ying Xie
Let D_N be the determinant of the generic symmetric N x N matrix, and let differential operators act by ordinary differentiation over a field of odd characteristic p. We determine…
math.AC2026
Dimensions of permanental varieties in arbitrary size
Ying Xie
Let be the ideal generated by the permanents of a generic matrix over a field of characteristic different from two. We prove that $\dim K[X]/I_h(…