On the topological classification of certain singular hypersurfaces in 4‐dimensional projective space | Zendy

Su Yang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research