Mond's conjecture for maps between curves

被引：2

作者：

Henrique Ament, Daiane Alice ^{[1
]}

Jose Nuno-Ballesteros, Juan ^{[2
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13560905 Sao Carlos, SP, Brazil

[2] Univ Valencia, Dept Matemat, Campus Burjassot, E-46100 Burjassot, Spain

来源：

MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 17-18期

关键词：

A(e)-codimension; image Milnor number; curve singularities; SINGULARITIES; DEFORMATIONS;

D O I：

10.1002/mana.201600483

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A theorem by D. Mond shows that if f : (C, 0) -> (C-2, 0) is finite and has has degree one onto its image (Y, 0), then the A(e)-codimension is less than or equal to the image Milnor number mu(I)(f), with equality if and only if (Y, 0) is weighted homogeneous. Here we generalize this result to the case of a map germ f : (X, 0) -> (C-2, 0), where (X, 0) is a plane curve singularity.

引用

页码：2845 / 2857

页数：13

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