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arXiv · 1307.7456

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

Shane D'Mello
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Abstract

We prove an elementary method to classify, up to rigid isotopy, all nodal degree 4 real rational curves in $\mathbb{RP}^2$ 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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Shane D'Mello. 2013-07-29. Rigid isotopy classification of real degree-4 planar rational curves with only real nodes (An elementary approach). https://arxiv.org/abs/1307.7456

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