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Generating Residual Intersections of Determinantal Ideals (2210.15005v1)

Published 26 Oct 2022 in math.AC

Abstract: If $I$ is a perfect ideal in a local Cohen-Macaulay ring, the generators of ideals linked to $I$ are well understood. However, the generators of the residual intersections of $I$ have only been computed in a few special cases. In this paper, we show that the $n$-residual intersections of determinantal ideals of generic $2\times n$ matrices are sums of links.

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