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

On the topological classification of certain singular hypersurfaces in 4-dimensional projective space
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In this paper, the classification of hypersurfaces in CP4 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.

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