论文标题
剩余的交叉点为$ 2 \ times n $确定性理想
Residual Intersections of $2\times n$ Determinantal Ideals
论文作者
论文摘要
在Cohen-Macaulay的情况下，已经对由残留相交定义的方案进行了广泛的研究，但这是一个非常限制的条件。在本文中，我们对一类自然示例进行了首次研究，远远无法满足这种情况，即通用$ 2 \ times n $矩阵的等级1基因座。在这里，我们计算它们的深度和许多其他属性。这些计算需要许多新颖的工具。
Schemes defined by residual intersections have been extensively studied in the case when they are Cohen-Macaulay, but this is a very restrictive condition. In this paper we make the first study of a class of natural examples far from satisfying this condition, the rank 1 loci of generic $2\times n$ matrices. Here we compute their depths and many other properties. These computations require a number of novel tools.
