On the classification of certain hypersurfaces in CP^4

Details On the classification of certain hypersurfaces in CP^4 On the classification of certain hypersurfaces in CP^4

2006-09-19

arxiv.org/abs/math/0609523v1

Mathematics

Geometric Topology

19 pages

Scientific paper

In this paper the singular hypersurfaces in $\mathbb{C}\mathrm{P}^4$ of degree $d$ with an isolated singularity are studied. If the singularity is of type $A_{2k+1}$, under the condition $d<(k+5)/2$, a classification of such hypersurfaces upto homeomorphism (which is diffeomorphism on the nonsingular part) is obtained. As an application, cubic hypersurfaces with an $A_5$-singularity are constructed.

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