论文标题
$ \ mathbb {a}^3 $的守时希尔伯特（Hilbert）
Punctual Hilbert schemes of points of $\mathbb{A}^3$ in the Grothendieck group of varieties
论文作者
论文摘要
我们对$ \ mathbb {a}^{m+1} $的准时希尔伯特方案的明确分层就$ m $ - 二维分区而言。作为一个应用程序，我们计算了$ n $ n $点的准时Hilbert方案的类别，$ \ Mathbb {a}^3 $和$ n $点的$ \ Mathbb {A} a}^3 $的Hilbert shemes of类别在$ n \ n \ leq 5 $中的花样中。
We give an explicit stratification of the punctual Hilbert schemes of $n$ points of $\mathbb{A}^{m+1}$ with respect to $m$-dimensional partitions in the Grothendieck group of varieties. As an application, we calculate the classes of the punctual Hilbert schemes of $n$ points of $\mathbb{A}^3$ and the classes of the Hilbert schemes of $n$ points of $\mathbb{A}^3$ in the Grothendieck of varieties for $n\leq 5$.
