Year: 2026
Type: preprint
Abstract: We study the following question of Farb: For which positive integers n is it possible to choose n distinct points continuously on every smooth cubic plane curve? This paper is a continuation of the work of Banerjee-Chen. We prove that such choice is unique up to homotopy for n=27 (smallest open case), and does not exist for n=36k+18.
Source: arXiv (Cornell University)
Author: Yao, Jinwen
Institution: Tsinghua University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7169506453