论文标题
正常曲线上点的规律性和符号缺陷
Regularity and symbolic defect of points on rational normal curves
论文作者
论文摘要
在本文中，我们研究了在投影平面和投影$ 3 $空间定义的理性正常曲线上的积分理想。我们为Castelnuovo-Mumford的普通权力提供了明确的公式。此外，我们比较了这些理想的$ m $ th符号和普通力量，以便每当$ m $ th符号缺陷为非零时显示。
In this paper we study ideals of points lying on rational normal curves defined in projective plane and projective $ 3 $-space. We give an explicit formula for the value of Castelnuovo-Mumford regularity for their ordinary powers. Moreover, we compare the $ m $-th symbolic and ordinary powers for such ideals in order to show whenever the $ m $-th symbolic defect is non-zero.
