论文标题
霍斯古拉两轨品种为零基因座
Horospherical two-orbit varieties as zero loci
论文作者
论文摘要
我们通过表明它们沿着独特的闭合不变的轨道爆炸是均匀矢量束的一般部分的零位点，从而介绍了霍斯氏两轨品种的几何实现。作为一个应用程序，我们计算$ g_2 $ - 变化（包括其量子版本）的共同体学环。我们还考虑了旋转$ _7 $ - 变化，应该得到不同的治疗方法。
We present geometric realizations of horospherical two-orbit varieties, by showing that their blow-up along the unique closed-invariant orbit is the zero locus of a general section of a homogeneous vector bundle over some auxiliary variety. As an application, we compute the cohomology ring of the $G_2$-variety, including its quantum version. We also consider the Spin$_7$-variety, which deserves a different treatment.
