论文标题
确定环的规范痕迹
The canonical trace of determinantal rings
论文作者
论文摘要
我们计算通用确定环的规范轨迹，并为痕迹提供了足够的条件。作为一个应用程序，我们确定Cohen-Macaulay环的Cohen-Macaulay环$ r $ CODIMENSION二的规范跟踪$ \ mbox {tr}（ω_r）$，通常是Gorenstein。结果表明，如果定义理想的$ i $ $ r $由$ n $元素生成，则$ \ mbox {tr}（ω_r）$由$（n-2）$生成$ i $的$（n-2）$。
We compute the canonical trace of generic determinantal rings and provide a sufficient condition for the trace to specialize. As an application we determine the canonical trace $\mbox{tr}(ω_R)$ of a Cohen-Macaulay ring $R$ of codimension two, which is generically Gorenstein. It is shown that if the defining ideal $I$ of $R$ is generated by $n$ elements, then $\mbox{tr}(ω_R)$ is generated by the $(n-2)$-minors of the Hilbert-Burch matrix of $I$.
