Topological equivalence in the infinity of a planar vector field and its principal part defined through Newton polytope

Thais Maria Dalbelo, Regilene Oliveira, Otavio Henrique Perez

Given a planar polynomial vector field $X$ with a fixed Newton polytope $\mathcal{P}$, we prove (under some non degeneracy conditions) that the monomials associated to the upper bo…