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

2018/06/08 by Shinzo Bannai, Bannai, Shinzo, Hiro‐o Tokunaga +3 · 1 citation
Mathematics · #14H30 #14H50 #14J27 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1806.02982

openalex publication_date 2018/06/08 · openalex created_date 2018/06/13 · openalex updated_date 2026/07/28

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.

Cited by

• Del Pezzo surfaces of degree one and examples of Zariski multiples

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