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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_ap_59_2_117_131,
     author = {Piotr Jaworski},
     title = {Decompositions of hypersurface singularities oftype $J_{k,0}$},
     journal = {Annales Polonici Mathematici},
     pages = {117--131},
     publisher = {mathdoc},
     volume = {59},
     number = {2},
     year = {1994},
     doi = {10.4064/ap-59-2-117-131},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-59-2-117-131/}
}
TY  - JOUR
AU  - Piotr Jaworski
TI  - Decompositions of hypersurface singularities oftype $J_{k,0}$
JO  - Annales Polonici Mathematici
PY  - 1994
SP  - 117
EP  - 131
VL  - 59
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-59-2-117-131/
DO  - 10.4064/ap-59-2-117-131
LA  - en
ID  - 10_4064_ap_59_2_117_131
ER  - 
%0 Journal Article
%A Piotr Jaworski
%T Decompositions of hypersurface singularities oftype $J_{k,0}$
%J Annales Polonici Mathematici
%D 1994
%P 117-131
%V 59
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-59-2-117-131/
%R 10.4064/ap-59-2-117-131
%G en
%F 10_4064_ap_59_2_117_131
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

Cité par Sources :