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

S.Bannai, H.Tokunaga and M.Yamamoto

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.

Hiroshima Math. J.

49

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