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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

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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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
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Right arrow Articles by Su, Y.
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