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On the topological classification of certain singular hypersurfaces in 4‐dimensional projective space
Author(s) -
Su Yang
Publication year - 2008
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtn005
Subject(s) - singularity , mathematics , homeomorphism (graph theory) , diffeomorphism , pure mathematics , invertible matrix , isolated singularity , degree (music) , type (biology) , projective space , space (punctuation) , singularity theory , topology (electrical circuits) , mathematical analysis , projective test , combinatorics , computer science , physics , ecology , acoustics , biology , operating system
In this paper, the classification of hypersurfaces in ℂP 4 with an isolated singularity are studied. If the singularity is of type A k , 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 A 5 ‐singularity are constructed.