Plane rectifiable curves: old and new
代数几何
2026-05-12 v1 微分几何
摘要
In this note we recall the classical notion of an algebraically rectifiable plane curve going back to J. A. Serret, E. Laguerre and G. Humbert. We provide new criteria of algebraic rectifiability, relate this notion to quadratic differentials, and generalize it to differentials of higher order.
引用
@article{arxiv.2605.09626,
title = {Plane rectifiable curves: old and new},
author = {Boris Shapiro and Guillaume Tahar},
journal= {arXiv preprint arXiv:2605.09626},
year = {2026}
}
备注
20 pages