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arXiv 2006-09-19 0 views

On the classification of certain hypersurfaces in CP⁴

Su, Yang

Original · EN

In this paper the singular hypersurfaces in CP⁴ of degree d with an isolated singularity are studied. If the singularity is of type A₂ₖ₊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 A₅-singularity are constructed.

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