Asymptotes and Perfect Curves

Abstract

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

References in corpus (2)

• Asymptotic Behavior of an Implicit Algebraic Plane Curve
• Beta-conjugates of real algebraic numbers as Puiseux expansions

Cited by in corpus (3)

• Asymptotic Behavior of an Implicit Algebraic Plane Curve
• Asymptotes of Space Curves
• Characterizing the finiteness of the Hausdorff distance between two algebraic curves