代数曲线上具有两个内Galois点的平面模型存在性的一个判据

Pub Date : 2020-10-02 DOI:10.32917/H2020094
Kazuki Higashine
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引用次数: 2

摘要

给出了代数曲线上具有两个非光滑Galois点的平面模型的存在性准则,该准则是Fukasawa关于两个光滑Galoi点的准则的推广。由于这个广义准则,可以详细地描述伽罗瓦点上的乘法性和阶序列。
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A criterion for the existence of a plane model with two inner Galois points for algebraic curves
A criterion for the existence of a plane model with two non-smooth Galois points for algebraic curves is presented, which is a generalization of Fukasawa's criterion for two smooth Galois points. Owing to this generalized criterion, multiplicities and order sequences at Galois points can be described in detail.
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