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arXiv · 1806.02982

A note on the topology of arrangements for a smooth plane quartic and its bitangent lines

Shinzo Bannai·Hiro-o Tokunaga·Momoko Yamamoto
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Abstract

In this paper, we give a Zariski triple of the arrangements for a smooth quartic and its four bitangents. A key criterion to distinguish the topology of such curves is given by a matrix related to the height pairing of rational points arising from three bitangent lines.

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Shinzo Bannai, Hiro-o Tokunaga, Momoko Yamamoto. 2018-06-08. A note on the topology of arrangements for a smooth plane quartic and its bitangent lines. https://arxiv.org/abs/1806.02982

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