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.
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页数：17
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