Rigid isotopy classification of real degree-4 planar rational curves with only real nodes (An elementary approach)

2013/07/29 by Shane D'Mello, D'Mello, Shane
Mathematics · #14H50 #14P25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H50 #msc:14P25

paper · pdf · doi:10.48550/arxiv.1307.7456

8 pages, 3 figures

arxiv created 2013/07/29 · arxiv updated 2013/07/30

Abstract

We prove an elementary method to classify, up to rigid isotopy, all nodal degree 4 real rational curves in \mathbbRP² that have only real double points. We show how to associate a chord diagram to a nodal real degree 4 planar rational curve and prove that such curves are defined up to rigid isotopy by their chord diagrams.

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