论文标题
理性投影k*-surface的自动形态组
The automorphism group of a rational projective k*-surface
论文作者
论文摘要
我们考虑可能是奇异的理性投影k*-surfaces,并根据各向异性组订单和合适不变曲线的交叉数来对自动形态组的单位组件进行明确描述。作为应用程序,我们表征了几乎均匀的构图k*-surfaces,并且我们指定了几乎具有传输的二维组以及相应的同质空间。
We consider possibly singular rational projective k*-surfaces and provide an explicit description of the unit component of the automorphism group in terms of isotropy group orders and intersection numbers of suitable invariant curves. As an application, we characterize the almost homogeneous rational projective k*-surfaces and we specify the two-dimensional groups acting almost transitively as well as the corresponding homogeneous spaces.