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
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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