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arXiv · 1603.06247

Genus three curves and 56 nodal sextic surfaces

Bert van Geemen·Yan Zhao
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Abstract

Catanese and Tonoli showed that the maximal cardinality for an even set of nodes on a sextic surface is 56 and they constructed such nodal surfaces. In this paper we give an alternative, rather simple, construction for these surfaces starting from a non-hyperelliptic genus three curve. We illustrate our method by giving explicitly the equation of such a sextic surface starting from the Klein curve.

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Bert van Geemen, Yan Zhao. 2016-03-20. Genus three curves and 56 nodal sextic surfaces. https://arxiv.org/abs/1603.06247

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