论文标题
光滑的希尔伯特计划：它们的分类和几何形状
Smooth Hilbert schemes: their classification and geometry
论文作者
论文摘要
Hilbert方案在具有固定希尔伯特多项式的投影空间中的封闭式化的封闭式化的亚化阶段。我们对光滑的分类进行了分类。我们确定多项式上的数值条件，该条件完全确定何时希尔伯特方案平滑。我们还将这些平滑的希尔伯特方案重新解释为广义的部分标志品种，并描述了正在参数化的亚化概述。
Closed subschemes in projective space with a fixed Hilbert polynomial are parametrized by a Hilbert scheme. We classify the smooth ones. We identify numerical conditions on a polynomial that completely determine when the Hilbert scheme is smooth. We also reinterpret these smooth Hilbert schemes as generalized partial flag varieties and describe the subschemes being parametrized.
