Geodesic
Newton Diagrams, Odd Points, and the Index of Singular Points of Planar Vector Fields
Matematičeskie zametki, Tome 89 (2011) no. 6, pp. 803-807

Voir la notice de l'article provenant de la source Math-Net.Ru

On the basis of a formula for calculating the topological index of a singular point of a planar vector field from the Newton diagrams of the field components, conditions on the integer points of the Newton diagram under which the index vanishes or is odd are determined.
Keywords: topological index of a singular point, analytic vector field, $\mathbb R$-nondegenerate vector field, Newton diagram, suitable Newton diagram
Mots-clés : Cauchy index. 
@article{MZM_2011_89_6_a0,
     author = {I. V. Antjushina and N. M. Bliznyakov},
     title = {Newton {Diagrams,} {Odd} {Points,} and the {Index} of {Singular} {Points} of {Planar} {Vector} {Fields}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {803--807},
     publisher = {mathdoc},
     volume = {89},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a0/}
}
TY  - JOUR
AU  - I. V. Antjushina
AU  - N. M. Bliznyakov
TI  - Newton Diagrams, Odd Points, and the Index of Singular Points of Planar Vector Fields
JO  - Matematičeskie zametki
PY  - 2011
SP  - 803
EP  - 807
VL  - 89
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a0/
LA  - ru
ID  - MZM_2011_89_6_a0
ER  - 
%0 Journal Article
%A I. V. Antjushina
%A N. M. Bliznyakov
%T Newton Diagrams, Odd Points, and the Index of Singular Points of Planar Vector Fields
%J Matematičeskie zametki
%D 2011
%P 803-807
%V 89
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a0/
%G ru
%F MZM_2011_89_6_a0
I. V. Antjushina; N. M. Bliznyakov. Newton Diagrams, Odd Points, and the Index of Singular Points of Planar Vector Fields. Matematičeskie zametki, Tome 89 (2011) no. 6, pp. 803-807. http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a0/