Plane rectifiable curves: old and new
Algebraic Geometry
2026-05-12 v1 Differential Geometry
Abstract
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.
Keywords
Cite
@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}
}
Comments
20 pages