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Plane curves whose singular points are cusps and triple coverings of ℙ2

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Abstract

We study a plane curve C whose singular points are cusps and the surface which is a triple covering of ℙ2 branched along C. As a result, especially we obtain an inequality for the sum of the Milnor numbers at the singularities of C and new surfaces of general type.

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  1. Faculty of General Education, Niigata University, 950-21, Niigata, Japan

    Hisao Yoshihara

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  1. Hisao Yoshihara
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Yoshihara, H. Plane curves whose singular points are cusps and triple coverings of ℙ2 . Manuscripta Math 64, 169–187 (1989). https://doi.org/10.1007/BF01160117

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  • DOI: https://doi.org/10.1007/BF01160117

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