Normal canonical surfaces in projective 3-space

被引：1

作者：

Konno, Kazuhiro ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2017年 / 28卷 / 10期

基金：

日本学术振兴会;

关键词：

Canonical surface; elliptic singularity; sextic curve; ALGEBRAIC-SURFACES; GENERAL TYPE; CURVES;

D O I：

10.1142/S0129167X17500768

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Canonical surfaces with geometric genus four are studied assuming that the image of the canonical map is a normal surface in projective 3-space. It is shown that the degree of the image does not exceed 11 - q. Furthermore, normal canonical sextics surfaces are explicitly constructed, extending a former example due to Zariski.

引用

页数：17

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