QUOTIENT CURVES OF SMOOTH PLANE CURVES WITH AUTOMORPHISMS

被引：9

作者：

Harui, Takeshi ^{[1
]}

Kato, Takao ^{[2
]}

Komeda, Jiryo ^{[3
]}

Ohbuchi, Akira ^{[4
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan

[2] Yamaguchi Univ, Dept Math Sci, Grad Sch Sci & Engn, Yamaguchi 7538511, Japan

[3] Kanagawa Inst Technol, Dept Math, Ctr Basic Educ & Integrated Learning, Kanagawa 2430292, Japan

[4] Univ Tokushima, Fac Integrated Arts & Sci, Tokushima 7700814, Japan

来源：

KODAI MATHEMATICAL JOURNAL | 2010年 / 33卷 / 01期

关键词：

plane curve; automorphism; covering; linear system; extremal curve;

D O I：

10.2996/kmj/1270559164

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain several results of quotient curves of smooth plane curves with automorphisms. Such automorphisms can be divided into two types (type I and type II). The quotient curves of smooth plane curves with automorphisms of type I are extremal curves in the sense of Castelnuovo's bound. We also show some partial result on automorphisms of type II and give examples.

引用

页码：164 / 172

页数：9

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