Geodesic
Decompositions of hypersurface singularities oftype $J_{k,0}$
Annales Polonici Mathematici, Tome 59 (1994) no. 2, pp. 117-131.

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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.
DOI : 10.4064/ap-59-2-117-131
Keywords: hypersurface singularity, j-invariant, underdiagonal deformation, shift transformation, quasihomogeneous transformation

Piotr Jaworski 1

1 
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Piotr Jaworski. Decompositions of hypersurface singularities oftype $J_{k,0}$. Annales Polonici Mathematici, Tome 59 (1994) no. 2, pp. 117-131. doi : 10.4064/ap-59-2-117-131. http://geodesic.mathdoc.fr/articles/10.4064/ap-59-2-117-131/

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