Remarks on double points of plane curves

被引：2

作者：

Gimigliano, Alessandro ^{[1
]}

Ida, Monica ^{[1
]}

机构：

[1] Univ Bologna, Dipartimento Matemat, Bologna, Italy

来源：

GEOMETRIAE DEDICATA | 2023年 / 217卷 / 01期

关键词：

Plane curves; Double points; Curvilinear schemes;

D O I：

10.1007/s10711-022-00732-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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).

引用

页数：14

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Gimigliano, Alessandro ;

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[5]

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[7]

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