Tropical Geometry for Sextic Curves
Analysis
Key Takeaways
- •Applies tropical geometry to the problem of finding tritangent planes of space sextics.
- •Provides a method for constructing real space sextics with a specific number of totally real tritangents.
- •The method involves lifting tropical tritangents and analyzing their properties over quadratic extensions.
- •Offers insights into the arithmetic setting of the problem.
“The paper builds examples of real space sextics with 64 and 120 totally real tritangents.”