论文标题
在有多个点的线性系统上，在有理正常曲线上
On linear systems with multiple points on a rational normal curve
论文作者
论文摘要
我们为在$ \ mathbb {p}^n $中的所有线性系统的尺寸提供了一个封闭的公式，并在分配的多重位置上以任意积分的分配为$ n $的正常曲线。特别是，我们对这些线性系统的专业提供了纯粹的几何解释，这是由于基础基因座中某些亚变量的存在：点的线性跨度，合理正常曲线的固定品种或它们之间的连接。
We give a closed formula for the dimension of all linear systems in $\mathbb{P}^n$ with assigned multiplicity at arbitrary collections of points lying on a rational normal curve of degree $n$. In particular we give a purely geometric explanation of the speciality of these linear systems, which is due to the presence of certain subvarieties in the base locus: linear spans of points, secant varieties of the rational normal curve or joins between them.
