论文标题
射影平面曲线，其自动形态组简单而原始
Projective plane curves whose automorphism groups are simple and primitive
论文作者
论文摘要
我们研究了具有给定的一组自动形态的复杂的投射平面曲线。令$ g $为$ pgl（3，\ mathbb {c}）$的简单原始子组，它是同构对$ a_ {6} $，$ a_ {5} $或$ psl（2，\ mathbb {f} _ {7}）$。对于$ d $ $ d $不变的$ g $，我们获得了$ d $的必要条件。我们还研究了整体曲线上的类似问题。
We study complex projective plane curves with a given group of automorphisms. Let $G$ be a simple primitive subgroup of $PGL(3, \mathbb{C})$, which is isomorphic to $A_{6}$, $A_{5}$ or $PSL(2, \mathbb{F}_{7})$. We obtain a necessary and sufficient condition on $d$ for the existence of a nonsingular projective plane curve of degree $d$ invariant under $G$. We also study an analogous problem on integral curves.
