Topological complexity of finding flex points on cubic plane curves
Geometric Topology
2025-08-29 v2 Algebraic Geometry
Algebraic Topology
Abstract
We prove a lower bound for the topological complexity, in the sense of Smale, of the problem of finding a flex point on a cubic plane curve. The key is to bound the Schwarz genus of a cover associated to this problem. We also show that our lower bound for the complexity is close to be the best possible.
Keywords
Cite
@article{arxiv.2306.17303,
title = {Topological complexity of finding flex points on cubic plane curves},
author = {Weiyan Chen and Zheyan Wan},
journal= {arXiv preprint arXiv:2306.17303},
year = {2025}
}
Comments
10 pages. Comments and suggestions welcome. Introduction expanded