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Triple canonical surfaces of minimal degree

M. Mendes Lopes·R. Pardini
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Abstract

We classify completely the surfaces of general type whose canonical map is 3-to-1 onto a surface of minimal degree in projective space. These surfaces fall into 5 distinct classes and we give explicit examples belonging to each of these classes. As far as we know, one of the examples thus constructed was unknown and it is a surface whose canonical system has two infinitely near base points.

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M. Mendes Lopes, R. Pardini. 1998-07-02. Triple canonical surfaces of minimal degree. https://arxiv.org/abs/math/9807006

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