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Symmetric-determinant apolarity in odd characteristic

Xie, Ying
arXiv (All) · Papers
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algebraic-geometrycommutative-algebra
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 the apolar ideal of D_N in every size. In addition to the classical quadratic relations, it is generated by one (p-1) x
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