论文标题
合理正常滚动的纤维锥是Cohen-Macaulay
Fiber cones of rational normal scrolls are Cohen-Macaulay
论文作者
论文摘要
在这篇简短的论文中，我们表明，有理正常卷轴的纤维锥为Cohen-Macaulay。作为一个应用程序，我们计算他们的Castelnuovo-Mumford规律性和$ \ Mathbf {a} $ - 不变式，以及有效正常滚动的定义理想的减少数量。我们还表征了纤维锥的Gorensteinness。
In this short paper, we show that the fiber cones of rational normal scrolls are Cohen-Macaulay. As an application, we compute their Castelnuovo-Mumford regularities and $\mathbf{a}$-invariants, as well as the reduction number of the defining ideals of the rational normal scrolls. We also characterize the Gorensteinness of the fiber cone.
