On the quotient of Milnor and Tjurina numbers for two-dimensional isolated hypersurface singularities

被引：2

作者：

Almiron, Patricio ^{[1
,2
]}

机构：

[1] Univ Complutense Madrid, Inst Matemat Interdisciplinar IMI, Fac Ciencias Matemat, Madrid, Spain

[2] Univ Complutense Madrid, Dept Algebra Geometria & Topol, Fac Ciencias Matemat, Madrid 28040, Spain

来源：

MATHEMATISCHE NACHRICHTEN | 2022年 / 295卷 / 07期

关键词：

Milnor number; singularities; Tjurina number; CURVE; GERM; INVARIANTS; SMOOTHINGS; CONJECTURE; SIGNATURE; MU;

D O I：

10.1002/mana.202100371

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give a complete answer to a question posed by Dimca and Greuel about the quotient of the Milnor and Tjurina numbers of a plane curve singularity. We put this question into a general framework of the study of the difference of Milnor and Tjurina numbers for isolated complete intersection singularities showing its connection with other problems in singularity theory.

引用

页码：1254 / 1263

页数：10

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