论文标题
代数曲线承认内部和外galois点
Algebraic curves admitting inner and outer Galois points
论文作者
论文摘要
本文有两个目的。一种是提出一个标准，即存在于具有代数曲线的内部和外galois点的投影平面中的标准。另一个是对平面曲线进行分类$ d $，承认内在的galois点$ p $和$ g_pg_q = g_pg_q = g_p \ rtimes g_q $或$ g_p \ g_p \ ltimes g_q $，假设特征性$ p $是零或$ p $不划分$ d-1 $。
There are two purposes in this article. One is to present a criterion for the existence of a birational embedding into a projective plane with inner and outer Galois points for algebraic curves. Another is to classify plane curves of degree $d$ admitting an inner Galois point $P$ and an outer Galois point $Q$ with $G_PG_Q=G_P \rtimes G_Q$ or $G_P \ltimes G_Q$, under the assumption that the characteristic $p$ is zero or $p$ does not divide $d-1$.
