# Two-graphs and the embedded topology of smooth quartics and its bitangent lines

## TL;DR

This paper investigates the embedded topology of smooth plane quartics and their bitangent lines using two-graphs, leading to new examples of Zariski m-ple configurations.

## Contribution

It introduces a novel application of two-graphs to analyze the topology of smooth quartics and constructs new Zariski m-ple examples.

## Key findings

- Two-graphs effectively describe the topology of quartics and bitangent lines.
- New Zariski m-ple configurations are constructed.
- The approach offers insights into the interplay between algebraic geometry and combinatorics.

## Abstract

In this paper, we study the embedded topology of smooth plane quartics and its bitangent lines via two-graphs and apply it to construct interesting examples for Zariski $m$-ple.