Ideals associated to two sequences and a matrix

Andrew R. Kustin

Ideals associated to two sequences and a matrix

Commutative Algebra 2008-02-03 v1

Authors: Andrew R. Kustin

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.

Keywords

monomial ideals monomial ideals and free resolutions

Cite

@article{arxiv.math/9403204,
  title  = {Ideals associated to two sequences and a matrix},
  author = {Andrew R. Kustin},
  journal= {arXiv preprint arXiv:math/9403204},
  year   = {2008}
}

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