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arXiv · 1307.6153

Asymptotes and Perfect Curves

Angel Blasco·Sonia Pérez-Díaz
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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.

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Angel Blasco, Sonia Pérez-Díaz. 2013-07-23. Asymptotes and Perfect Curves. https://doi.org/10.1016/j.cagd.2013.12.004

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