SHADOWS, DISCRIMINANT AND DIRECT IMAGES OF PLANE CURVE SINGULARITIES

被引：0

作者：

Casas-Alvero, Eduardo ^{[1
]}

机构：

[1] Univ Barcelona, Dept Algebra & Geometria, E-08007 Barcelona, Spain

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2010年 / 21卷 / 04期

关键词：

Plane curve singularity; analytic morphism; Jacobian; discriminant; shadow;

D O I：

10.1142/S0129167X10006112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the images of irreducible germs of plane curves by a germ of analytic morphism phi have a certain contact either with branches of the discriminant of phi or with certain infinitesimal structures (shadows) that arise from the branches of the Jacobian of phi that are mapped to a point (and therefore give rise to no branch of the discriminant).

引用

页码：453 / 474

页数：22

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