## Kodai Mathematical Journal

### On topological types of reduced sextics

#### Abstract

We present a computational method for obtaining generic forms of sextics with a given configuration of local singularities. Using this method, we first complete the classification of topological types of local singularities appearing on reduced sextics. Next we give the list of possible configurations of singularities containing at least one non-simple singularity and satisfying $\rho(5)\ge 7$, and show that such a sextic is of torus type, which has been conjectured by the third author.

#### Article information

Source
Kodai Math. J., Volume 27, Number 3 (2004), 237-260.

Dates
First available in Project Euclid: 28 December 2004

https://projecteuclid.org/euclid.kmj/1104247349

Digital Object Identifier
doi:10.2996/kmj/1104247349

Mathematical Reviews number (MathSciNet)
MR2100921

Zentralblatt MATH identifier
1067.14024

#### Citation

Ishikawa, Masaharu; Tu Chanh, Nguyen; Oka, Mutsuo. On topological types of reduced sextics. Kodai Math. J. 27 (2004), no. 3, 237--260. doi:10.2996/kmj/1104247349. https://projecteuclid.org/euclid.kmj/1104247349