Remarks on double points of plane curves

Alessandro Gimigliano; Monica Idà

Remarks on double points of plane curves

Algebraic Geometry 2022-01-19 v1

Authors: Alessandro Gimigliano , Monica Idà

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 $A_s$ .

Keywords

plane curves double points curvilinear subschemes osculating curves rational curves singularities

Cite

@article{arxiv.2201.06032,
  title  = {Remarks on double points of plane curves},
  author = {Alessandro Gimigliano and Monica Idà},
  journal= {arXiv preprint arXiv:2201.06032},
  year   = {2022}
}

Comments

15 pages

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