论文标题

来自循环矩阵半群的曲折品种

Toric varieties from cyclic matrix semigroups

论文作者

Galuppi, Francesco, Stanojkovski, Mima

论文摘要

我们介绍并扩大了一些现有结果,内容涉及矩阵的循环群和半群的Zariski关闭。我们表明,在排除孤立点的情况下,它们的不可还原成分是感谢您的品种。此外,我们演示了如何将每个圆磨品种作为循环基质组的Zariski闭合。我们的论文包括许多明确的示例和有关现有计算结果的注释。

We present and expand some existing results on the Zariski closure of cyclic groups and semigroups of matrices. We show that, with the exclusion of isolated points, their irreducible components are toric varieties. Additionally, we demonstrate how every toric variety can be realized as the Zariski closure of a cyclic matrix group. Our paper includes a number of explicit examples and a note on existing computational results.

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