论文标题
在Riemann Sphere上有理矢量场的分离图上
On the separatrix graph of a rational vector field on the Riemann sphere
论文作者
论文摘要
我们考虑理性流$ξ_r（z）= r（z）（d/dz）$，其中$ r $由两个多项式的商的商给出，而在riemann球体上没有共同因素。 saparatrix图$γ_R$是具有不同属性的轨迹之间的边界。我们将指示图的属性表征为对Riemann球上有理矢量场的分离图的同构。
We consider the rational flow $ξ_R(z)= R(z) (d/dz)$ where $R$ is given by the quotient of two polynomials without common factors on the Riemann sphere. The separatrix graph $Γ_R$ is the boundary between trajectories with different properties. We characterize the properties of a planar directed graph to be homeomorphic to the separatrix graph of a rational vector field on the Riemann sphere.
