Ideals associated to two sequences and a matrix

摘要

Let u1xnXxn, and vnxl be matrices of indeterminates, Adj X be the classical adjoint of X, and H(n) be the ideal I1(uX) +1(Xv) +1(vu - AdjX). 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