论文标题
单位间隔确定方面理想的REES代数
Rees Algebras of Unit Interval Determinantal Facet Ideals
论文作者
论文摘要
使用Sagbi基础技术，我们找到了REES代数的呈现理想的Gröbner基础，以及单位间隔确定方面理想的特殊纤维环。特别是，我们表明单位间隔确定性方面的理想是纤维类型的，其特殊的纤维环为Koszul。此外，他们的REES代数和特殊的纤维环是正常的Cohen-Macaulay域，具有理性的颗粒。
Using SAGBI basis techniques, we find Gröbner bases for the presentation ideals of the Rees algebras and special fiber rings of unit interval determinantal facet ideals. In particular, we show that unit interval determinantal facet ideals are of fiber type and that their special fiber rings are Koszul. Moreover, their Rees algebras and special fiber rings are normal Cohen-Macaulay domains and have rational singularities.
