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arXiv · 2605.09626

Plane rectifiable curves: old and new

Boris Shapiro·Guillaume Tahar
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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.

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Boris Shapiro, Guillaume Tahar. 2026-05-10. Plane rectifiable curves: old and new. https://arxiv.org/abs/2605.09626

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