## Advanced Studies in Pure Mathematics

- Adv. Stud. Pure Math.
- Singularities in Geometry and Topology 2004, J.-P. Brasselet and T. Suwa, eds. (Tokyo: Mathematical Society of Japan, 2007), 273 - 298

### Plane curve singularities whose Milnor and Tjurina numbers differ by three

#### Abstract

Bayer and Hefez described irreducible plane curve singularities whose Milnor and Tjurina numbers differ by one or two, modulo analytic equivalence. After their work, we classify the case in which their difference is three.

#### Article information

**Source***Singularities in Geometry and Topology 2004*, J.-P. Brasselet and T. Suwa, eds. (Tokyo: Mathematical Society of Japan, 2007), 273-298

**Dates**

Received: 21 December 2004

Revised: 17 December 2005

First available in Project Euclid:
16 December 2018

**Permanent link to this document**

https://projecteuclid.org/
euclid.aspm/1544999915

**Digital Object Identifier**

doi:10.2969/aspm/04610273

**Mathematical Reviews number (MathSciNet)**

MR2342896

**Zentralblatt MATH identifier**

1257.14022

#### Citation

Watari, Masahiro. Plane curve singularities whose Milnor and Tjurina numbers differ by three. Singularities in Geometry and Topology 2004, 273--298, Mathematical Society of Japan, Tokyo, Japan, 2007. doi:10.2969/aspm/04610273. https://projecteuclid.org/euclid.aspm/1544999915