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 As.
Alessandro Gimigliano, Monica Ida' (2023). Remarks on double points of plane curves. GEOMETRIAE DEDICATA, 217(5), 1-14 [10.1007/s10711-022-00732-4].
Remarks on double points of plane curves
Alessandro Gimigliano;Monica Ida'
2023
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 As.File in questo prodotto:
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