Antonino Ficarra, Jürgen Herzog, Dumitru I. Stamate, Vijaylaxmi Trivedi
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引用次数: 0
Abstract
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 \(tr (\omega _R)\) 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 \(tr (\omega _R)\) is generated by the \((n-2)\)-minors of the Hilbert–Burch matrix of I.
我们计算了一般行列式环的典型迹，并提供了迹特殊化的充分条件。作为应用，我们确定了一般为戈伦斯坦的二维科恩-麦考莱环 R 的典型迹 \(tr (\omega _R)\)。研究表明，如果 R 的定义理想 I 由 n 个元素生成，那么 \(tr (\omega _R)\) 是由 I 的希尔伯特-伯奇矩阵的 \((n-2)\)-最小值生成的。
期刊介绍：
Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
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