Advanced Studies in Pure Mathematics

The links specific to hypersurface simple $K3$ singularities

Atsuko Katanaga

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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

Source
Singularities in Geometry and Topology 2011, V. Blanlœil and O. Saeki, eds. (Tokyo: Mathematical Society of Japan, 2015), 111-121

Dates
Received: 16 March 2012
Revised: 25 July 2012
First available in Project Euclid: 19 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1539916283

Digital Object Identifier
doi:10.2969/aspm/06610111

Mathematical Reviews number (MathSciNet)
MR3382046

Zentralblatt MATH identifier
1360.32025

Subjects
Primary: 32S25: Surface and hypersurface singularities [See also 14J17] 14J17: Singularities [See also 14B05, 14E15] 32S55: Milnor fibration; relations with knot theory [See also 57M25, 57Q45]

Keywords
Hypersurface simple $K3$ singularity link

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


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