论文标题
立方表面的自动形态没有点
Automorphisms of cubic surfaces without points
论文作者
论文摘要
我们对在特征零范围内的非平凡severi表面的异性转化作用的有限组分类，这些族与自动形态群的亚组并非偶联。另外，我们表明，在没有$ k $ - 点的特征零的$ k $ abelian的$ k $的$ k $上，自动形态群体是阿伯利亚人，并为这种立方体表面的男子式自动形态群体的约旦常数找到了急剧的界限。
We classify finite groups acting by birational transformations of a non-trivial Severi--Brauer surface over a field of characteristc zero that are not conjugate to subgroups of the automorphism group. Also, we show that the automorphism group of a smooth cubic surface over a field $K$ of characteristic zero that has no $K$-points is abelian, and find a sharp bound for the Jordan constants of birational automorphism groups of such cubic surfaces.
