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.

Remarks on double points of plane curves / Alessandro Gimigliano; Monica Ida'. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 217:5(2023), pp. 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.
2023
Remarks on double points of plane curves / Alessandro Gimigliano; Monica Ida'. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 217:5(2023), pp. 1-14. [10.1007/s10711-022-00732-4]
Alessandro Gimigliano; Monica Ida'
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/903377
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