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Some Geometry of Nodal Curves

2007/11/15 by Tristram de Piro, de Piro, Tristram
Computer Science · Engineering · Physics and Astronomy · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #FOS: Mathematics #Logic (math.LO) #Nonlinear Waves and Solitons #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0711.2435

openalex publication_date 2007/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find a geometrical method of analysing the singularities of a plane nodal curve. The main results will be used in a forthcoming paper on geometric Plucker formulas for such curves. Plane nodal curves, that is plane curves having at most nodes as singularities, form an important class of curves, as any projective algebraic curve is birational to a plane nodal curve.

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