The Minimal Tjurina Number of Irreducible Germs of Plane Curve Singularities

被引：0

作者：

Alberich-Carraminana, Maria ^{[1
]}

Almiron, Patricio ^{[2
]}

Blanco, Guillem ^{[3
]}

Melle-Hernandez, Alejandro ^{[2
]}

机构：

[1] Univ Politecn Cataluna, BarcelonaTech, Dept Matemat, Inst Robot & Informat Ind IRI,CSIC UPC, Av Diagonal 647, Barcelona 08028, Spain

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

[3] Univ Politecn Cataluna, BarcelonaTech, Dept Matemat, Av Diagonal 647, Barcelona 08028, Spain

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2021年 / 70卷 / 04期

关键词：

Curve singularities; Tjurina number; Milnor number; MODULI;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and the Tjurina numbers for any irreducible germ of plane curve singularity. This result is based on a closed formula for the minimal Tjurina number of an equisingularity class in terms of the sequence of multiplicities of the strict transform along a resolution. The key points for the proof are previous results by Genzmer [6], and by Wall and Mattei [11, 13].

引用

页码：1211 / 1220

页数：10

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