## Advanced Studies in Pure Mathematics

### The links specific to hypersurface simple $K3$ singularities

Atsuko Katanaga

#### Abstract

We show the existence of infinitely many links of non-degenerate simple $K3$ singularities defined by non-quasi-homogeneous polynomials such that the second betti numbers of the links are 17, which do not appear in the case of the singularities defined by quasi-homogeneous polynomials.

#### Article information

Dates
Revised: 25 July 2012
First available in Project Euclid: 19 October 2018

https://projecteuclid.org/ euclid.aspm/1539916283

Digital Object Identifier
doi:10.2969/aspm/06610111

Mathematical Reviews number (MathSciNet)
MR3382046

Zentralblatt MATH identifier
1360.32025

#### Citation

Katanaga, Atsuko. The links specific to hypersurface simple $K3$ singularities. Singularities in Geometry and Topology 2011, 111--121, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06610111. https://projecteuclid.org/euclid.aspm/1539916283