Geodesic
Irreducibility criterion for quasi-ordinary polynomials
Journal of Singularities, Tome 4 (2012), pp. 23-34

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

Using the notion of approximate roots and that of generalized Newton sets, we give a local criterion for a quasi ordinary polynomial to be irreducible. Such a criterion is useful in the study of singularities of quasi-ordinary hypersurfaces. It generalizes the criterion given by S.S. Abhyankar for algebraic plane curves.
DOI : 10.5427/jsing.2012.4b
Classification : 32S25, 32S7 
@article{10_5427_jsing_2012_4b,
     author = {Abdallah Assi},
     title = {Irreducibility criterion for quasi-ordinary polynomials},
     journal = {Journal of Singularities},
     pages = {23--34},
     publisher = {mathdoc},
     volume = {4},
     year = {2012},
     doi = {10.5427/jsing.2012.4b},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.4b/}
}
TY  - JOUR
AU  - Abdallah Assi
TI  - Irreducibility criterion for quasi-ordinary polynomials
JO  - Journal of Singularities
PY  - 2012
SP  - 23
EP  - 34
VL  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.4b/
DO  - 10.5427/jsing.2012.4b
ID  - 10_5427_jsing_2012_4b
ER  - 
%0 Journal Article
%A Abdallah Assi
%T Irreducibility criterion for quasi-ordinary polynomials
%J Journal of Singularities
%D 2012
%P 23-34
%V 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.4b/
%R 10.5427/jsing.2012.4b
%F 10_5427_jsing_2012_4b
Abdallah Assi. Irreducibility criterion for quasi-ordinary polynomials. Journal of Singularities, Tome 4 (2012), pp. 23-34. doi: 10.5427/jsing.2012.4b

Cité par Sources :