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. 
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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/

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