arXiv subjects

Momoko Yamamoto

Publications and source records attributed to Momoko Yamamoto.

2 recordsLinked to original sources

arXiv2018

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

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.

math.AG↗

arXiv2017

Rational points of elliptic surfaces and Zariski $N$-ples for cubic-line, cubic-conic-line arrangements

In this paper, we continue the study of the relation between rational points of rational elliptic surfaces and plane curves. As an application, we give first examples of Zariski pairs of cubic-line arrangements that do not involve inflectional tangent lines.

math.AG↗