Algebraic curves admitting the same Galois closure for two projections
Algebraic curves admitting the same Galois closure for two projections
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两个投影具有相同伽罗瓦闭包的代数曲线
DOI：
10.1007/s10231-022-01191-0
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Kazuki Higashine and Takeshi Takahashi
中科院分区：
文献类型：
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作者：
Satoru Fukasawa;Kazuki Higashine and Takeshi Takahashi
给出了代数曲线的平面模型使得两点投影的Galois闭包相同的一个判据。令人惊讶的是，正特征的厄米函数场成为平面曲线从两个非均匀点投影的伽罗瓦闭包。
A criterion for the existence of a plane model of an algebraic curve such that the Galois closures of projections from two points are the same is presented. Surprisingly, the Hermitian function field in positive characteristic becomes the Galois closure of projections of a plane curve from two non-uniform points.