e denote by $I_{(c,\infty)}(\Delta_i,\mathbb{P}^0\times\{\infty\})$ the intersection number of the cycles $\Delta_i$ and $\mathbb{P}^0\times\{\infty\}$. If the germ at $(c,\infty)$ of $\Delta_i$ is empty, this number is equal to $0$.  Let $f,g\in\mathbb{C}[x,y]$ be two polynomials algebraically 