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arXiv · 2201.06032

Remarks on double points of plane curves

Alessandro Gimigliano·Monica Idà
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Abstract

We study the relation between the type of a double point of a plane curve and the curvilinear 0-dimensional subschemes of the curve at the point. An Algorithm related to a classical procedure for the study of double points via osculating curves is described and proved. Eventually we look for a way to create examples of rational plane curves with given singularities $A_s$.

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Alessandro Gimigliano, Monica Idà. 2022-01-16. Remarks on double points of plane curves. https://arxiv.org/abs/2201.06032

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