Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matematicas. RACSAM (Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM) (20230101), 117, no.~3, Paper No 109, 24~pp. ISSN: 1578-7303 (print).eISSN: 1579-1505.
Subject
14 Algebraic geometry -- 14H Curves 14H50 Plane and space curves
30 Functions of a complex variable -- 30D Entire and meromorphic functions, and related topics 30D30 Meromorphic functions, general theory
30 Functions of a complex variable -- 30E Miscellaneous topics of analysis in the complex domain 30E15 Asymptotic representations in the complex domain
This paper summarizes the existing algorithms for computing all the generalized asymptotes of a plane algebraic curve. Afterward, it provides a way to determine the branches and the generalized asymptotes of a curve parametrized by two not necessarily rational functions.