Decompositions of hypersurface singularities oftype $J_{k,0}$

Piotr Jaworski

ArticleOriginal scientific text

Title

Decompositions of hypersurface singularities oftype $J_{k, 0}$

Authors ¹

Affiliations

University of Warsaw, Institute of Mathematics, Banacha 2, 02-097 Warszawa, Poland

Abstract

Applications of singularity theory give rise to many questions concerning deformations of singularities. Unfortunately, satisfactory answers are known only for simple singularities and partially for unimodal ones. The aim of this paper is to give some insight into decompositions of multi-modal singularities with unimodal leading part. We investigate the

J_{k, 0}

singularities which have modality k - 1 but the quasihomogeneous part of their normal form only depends on one modulus.

Keywords

ENG

hypersurface singularity, j-invariant, underdiagonal deformation, shift transformation, quasihomogeneous transformation

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Title

Decompositions of hypersurface singularities oftype Jk,0

Affiliations

Abstract

Keywords

Bibliography

Decompositions of hypersurface singularities oftype $J_{k, 0}$