论文标题
非常特殊的代数组
Very special algebraic groups
论文作者
论文摘要
我们说，如果对于任何字段扩展$ k/k $，每一个$ g_k $ - 均匀的$ k $ -varietio都具有$ k $ - 理性点。众所周知，每个可拆分可解决的线性代数群都非常特别。在本说明中，我们表明了匡威的成立，并讨论了其与代数群体行动的生育分类的关系。
We say that a smooth algebraic group $G$ over a field $k$ is very special if for any field extension $K/k$, every $G_K$-homogeneous $K$-variety has a $K$-rational point. It is known that every split solvable linear algebraic group is very special. In this note, we show that the converse holds, and discuss its relationship with the birational classification of algebraic group actions.
