Abstract
AbstractLet be the ideal of minors of a matrix of linear forms with the expected codimension. In this paper, we prove that the Rees algebra of and its special fiber ring are Cohen–Macaulay and Koszul; in particular, they are quadratic algebras. The main novelty in our approach is the analysis of a stratification of the Hilbert scheme of determinantal ideals. We study degenerations of Rees algebras along this stratification, and combine it with certain squarefree Gröbner degenerations.
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