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Journal of Topology 2008 1(2):446-460; doi:10.1112/jtopol/jtn005
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© 2008 London Mathematical Society

On the topological classification of certain singular hypersurfaces in 4-dimensional projective space

Yang Su

Mathematisches Institut, Universität Heidelberg, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany
Current address: Institute of Mathematics and System Science, Chinese Academy of Sciences, No. 55 East Road, Zhongguancun, 100080 Beijing, China suyang@math.ac.cn


  Abstract

In this paper, the classification of hypersurfaces in Formula with an isolated singularity are studied. If the singularity is of type Ak, under certain restrictions of the degree of the hypersurfaces, a classification up to homeomorphism, which is a diffeomorphism on the nonsingular part, is obtained. Examples of cubic hypersurfaces with an A5-singularity are constructed.

Received May 3, 2007.

2000 Mathematics Subject Classification 57R50 (primary), 57R19, 57R65, 14B05, 14Q10 (secondary)


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