Ideals associated to two sequences and a matrix

Andrew R. Kustin

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arXiv · math/9403204

Ideals associated to two sequences and a matrix

Andrew R. Kustin

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Abstract

Let $\u_{1\times n}$, $\X_{n\times n}$, and $\v_{n\times 1}$ be matrices of indeterminates, $\Adj \X$ be the classical adjoint of $\X$, and $H(n)$ be the ideal $I_1(\u\X)+I_1(\X\v)+I_1(\v\u-\Adj \X)$. Vasconcelos has conjectured that $H(n)$ is a perfect Gorenstein ideal of grade $2n$. In this paper, we obtain the minimal free resolution of $H(n)$; and thereby establish Vasconcelos' conjecture.

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Andrew R. Kustin. 1994-03-23. Ideals associated to two sequences and a matrix. https://arxiv.org/abs/math/9403204

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