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).
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页码：453 / 474
页数：22
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