Normal canonical surfaces in projective 3-space

作者：Konno Kazuhiro^*

来源：International Journal of Mathematics, 2017, 28(10): 1750076.

DOI：10.1142/S0129167X17500768

• Canonical surface
• elliptic singularity
• sextic curve

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.

• 出版日期2017-9