论文标题

产生决定性理想的残留相交

Generating Residual Intersections of Determinantal Ideals

论文作者

Tarasova, Yevgeniya

论文摘要

如果$ i $在当地的Cohen-Macaulay戒指中是一个完美的理想,那么与$ i $相关的理想的发电机就会得到充分了解。但是,仅在几种特殊情况下计算出$ i $的残差相交的发电机。在本文中,我们表明$ n $ ridatual $ 2 \ times n $矩阵的确定性理想的相交是链接的总和。

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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