%0 Journal Article
%A Blasco Lorenzo, Ángel
%A Pérez Díaz, Sonia
%T Asymptotes and perfect curves
%D 2014
%@ 0167-8396
%U http://hdl.handle.net/10017/49575
%X We develop a method for computing all the generalized asymptotes of a real plane algebraic curve C implicitly defined by an irreducible polynomial f(x, y) ∈ R[x, y]. The approach is based on the notion of perfect curve introduced from the concepts and results presented in Blasco and P´erez-D´ıaz (2013). In addition, we study some properties concerning perfect curves and in particular, we provide a necessary and sufficient condition for a plane curve to be perfect. Finally, we show that the equivalent class of generalized asymptotes for a branch of a plane curve can be described as an affine space R m for a certain m.
%K Implicit algebraic plane curve
%K Infinity branches
%K Asymptotes
%K Perfect curves
%K Matemáticas
%K Mathematics
%~ Biblioteca Universidad de Alcala