Tropical Geometry for Sextic Curves

This paper leverages tropical geometry to analyze and construct real space sextics, specifically focusing on their tritangent planes. The use of tropical methods offers a combinatorial approach to a classical problem, potentially simplifying the process of finding these planes. The paper's contribution lies in providing a method to build examples of real space sextics with a specific number of totally real tritangents (64 and 120), which is a significant result in algebraic geometry. The paper's focus on real algebraic geometry and arithmetic settings suggests a potential impact on related fields.