Plane rectifiable curves: old and new
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911669641281536 |
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| author | Shapiro, Boris Tahar, Guillaume |
| author_facet | Shapiro, Boris Tahar, Guillaume |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09626 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Plane rectifiable curves: old and new Shapiro, Boris Tahar, Guillaume Algebraic Geometry Differential Geometry 14H50, 53A04, 53A55, 30F30, 14H70 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. |
| title | Plane rectifiable curves: old and new |
| topic | Algebraic Geometry Differential Geometry 14H50, 53A04, 53A55, 30F30, 14H70 |
| url | https://arxiv.org/abs/2605.09626 |