论文标题
在飞机自动形态及其稳定器上的轨道上
On the orbits of plane automorphisms and their stabilizers
论文作者
论文摘要
令$ \ bbbk $是一个完美的字段，具有代数关闭$ \ overline {\ bbbk} $。 If $H$ is a subgroup of plane automorphisms over $\Bbbk$ and $p\in\overline{\Bbbk}^2$ is a point, we describe the subgroup consisting of plane automorphisms which stabilize the orbit of $p$ under $H$, when this orbit has irreducible closure in $\overline{\Bbbk}^2$.作为一个应用程序，我们将$ h $是循环的情况处理，而$ p $的轨道关闭是任意（不必要的）曲线。
Let $\Bbbk$ be a perfect field with algebraic closure $\overline{\Bbbk}$. If $H$ is a subgroup of plane automorphisms over $\Bbbk$ and $p\in\overline{\Bbbk}^2$ is a point, we describe the subgroup consisting of plane automorphisms which stabilize the orbit of $p$ under $H$, when this orbit has irreducible closure in $\overline{\Bbbk}^2$. As an application, we treat the case where $H$ is cyclic and the closure of the orbit of $p$ is an arbitrary (non-necessarily irreducible) curve.
