Geodesic
A complete characterization of A_0-sufficiency of plane-to-plane jets of rank 1
Journal of Singularities, Tome 3 (2011), pp. 89-112

Voir la notice de l'article provenant de la source Journal of Singularities website

Sufficient conditions for A_0-sufficiency of plane-to-plane r-jets are known. These conditions are stated in the form of two Lojasiewicz inequalities which have to be satisfied. The first of these inequalities is known to be necessary for A_0-sufficiency, and in this article we prove that the second inequality is also necessary for A_0-sufficiency of all jets of rank 1. We also prove that a simpler Lojasiewicz inequality is equivalent to the second inequality for rank 1 jets. 
@article{10_5427_jsing_2011_3f,
     author = {Olav Skutlaberg},
     title = {A complete characterization of {A_0-sufficiency} of plane-to-plane jets of rank 1},
     journal = {Journal of Singularities},
     pages = {89--112},
     publisher = {mathdoc},
     volume = {3},
     year = {2011},
     doi = {10.5427/jsing.2011.3f},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2011.3f/}
}
TY  - JOUR
AU  - Olav Skutlaberg
TI  - A complete characterization of A_0-sufficiency of plane-to-plane jets of rank 1
JO  - Journal of Singularities
PY  - 2011
SP  - 89
EP  - 112
VL  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2011.3f/
DO  - 10.5427/jsing.2011.3f
ID  - 10_5427_jsing_2011_3f
ER  - 
%0 Journal Article
%A Olav Skutlaberg
%T A complete characterization of A_0-sufficiency of plane-to-plane jets of rank 1
%J Journal of Singularities
%D 2011
%P 89-112
%V 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2011.3f/
%R 10.5427/jsing.2011.3f
%F 10_5427_jsing_2011_3f
Olav Skutlaberg. A complete characterization of A_0-sufficiency of plane-to-plane jets of rank 1. Journal of Singularities, Tome 3 (2011), pp. 89-112. doi: 10.5427/jsing.2011.3f

Cité par Sources :