论文标题
$ gl_3 $ - 孔的描述在四倍投影品种上
Description of $GL_3$-orbits on the quadruple projective varieties
论文作者
论文摘要
本文列出了四倍投影品种$（\ Mathbb p^2）^4 $的对角线$ GL_3 $ -ORBITS的描述。我们给出明确的轨道代表，并描述轨道的封闭关系。我们设置的一个杰出功能是，这是最简单的情况，$ \ mathrm {diag}（gl_n）$具有无限的轨道，但在多个投射空间$（\ mathbb p^{n-1}）^m $中具有开放轨道。
This article gives a description of the diagonal $GL_3$-orbits on the quadruple projective variety $(\mathbb P^2)^4$. We give explicit representatives of orbits, and describe the closure relations of orbits. A distinguished feature of our setting is that it is the simplest case where $\mathrm{diag}(GL_n)$ has infinitely many orbits but has an open orbit in the multiple projective space $(\mathbb P^{n-1})^m$.
