科研之友
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摘要
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) is an element of R [x, y]. The approach is based on the notion of perfect curve introduced from the concepts and results presented in Blasco and Perez-Diaz (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.
- 出版日期2014-2
