Asymptotes and Perfect Curves

Abstract

We develop a method for computing all the {\it generalized asymptotes} of a real plane algebraic curve $\cal C$ over $\Bbb C$ implicitly defined by an irreducible polynomial $f(x,y)\in {\Bbb R}[x,y]$. The approach is based on the notion of perfect curve introduced from the concepts and results presented in Blasco, A., P\'erez-D\'{\i}az, S. (2013). {\it Asymptotic Behavior of an Implicit Algebraic Plane Curve}. arxiv.org/abs/1302.2522v2.