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Generating Residual Intersections of Determinantal Ideals

2022/10/26 by Tarasova, Yevgeniya
#13C40 #13P10 #14M06 #14M12 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.15005

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× n matrices are sums of links.

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