Singular hyperelliptic curves

被引：4
|
作者：
Homma, M [1 ]
机构：
[1] Kanagawa Univ, Dept Math, Rokkakubashi Kanagawa Ku, Yokohama, Kanagawa 2218686, Japan
来源：
MANUSCRIPTA MATHEMATICA | 1999年 / 98卷 / 01期
关键词：
D O I：
10.1007/s002290050122
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Singular curves with a morphism of degree two onto a projective line should be classified into two types according as the equipped morphism is separable or not; we call a curve with a separable one a hyperelliptic curve of separable type, and the other a hyperelliptic curve of inseparable type. We give concrete expressions of a hyperelliptic curve of separable type by means of its global "equation" and a hyperelliptic curve of inseparable type by means of its local rings. Furthermore, we discuss about Weierstrass points of a hyperelliptic curve of inseparable type.
引用
收藏
页码：21 / 36
页数：16
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