论文标题
希尔伯特（Hilbert
Irreducible components of Hilbert scheme of points on non-reduced curves
论文作者
论文摘要
我们对非还原代数平面曲线的希尔伯特方案的不可约组件进行了分类，并给出了不可约组件的多重性的公式。 $ n $的分区索引了不可约的组件；所有尺寸都有$ n $;它们的多重性作为对相应分区部分的多项式给出。
We classify the irreducible components of the Hilbert scheme of $n$ points on non-reduced algebraic plane curves, and give a formula for the multiplicities of the irreducible components. The irreducible components are indexed by partitions of $n$; all have dimension $n$; and their multiplicities are given as a polynomial of the parts of the corresponding partitions.
