Equations for Chow and Hilbert quotients
Equations for Chow and Hilbert quotients
复制标题
Chow 商和 Hilbert 商的方程
DOI：
10.2140/ant.2010.4.855
复制
发表时间：
2007
影响因子：
1.3
通讯作者：
D. Maclagan
中科院分区：
文献类型：
--
作者：
A. Gibney;D. Maclagan
我们给出了投影方案X在辅助环面簇中的代数环面T的作用下的Chow和Hilbert导数的显式方程。因此，我们给出了这些正则商的几何不变理论描述，并通过GIT商的变化得到了X的其他GIT商。我们应用这些结果找到方程的模空间（M）杆（0，n）的稳定亏格零n-点曲线作为一个子品种的光滑复曲面品种通过热带方法定义。
We give explicit equations for the Chow and Hilbert quotients of a projective scheme X by the action of an algebraic torus T in an auxiliary toric variety. As a consequence we provide geometric invariant theory descriptions of these canonical quotients, and obtain other GIT quotients of X by variation of GIT quotient. We apply these results to find equations for the moduli space (M) over bar (0,n) of stable genus-zero n-pointed curves as a subvariety of a smooth toric variety defined via tropical methods.