%0 Journal Article 
%A Campo Montalvo, Elena
%A Fernández De Sevilla Vellón, María De Los Ángeles
%A Pérez Díaz, Sonia
%T Asymptotic behavior of a surface implicitly defined
%D 2022
%@ 2227-7390
%U http://hdl.handle.net/10017/55108
%X In this paper, we introduce the notion of infinity branches and approaching surfaces. We obtain an algorithm that compares the behavior at the infinity of two given algebraic surfaces that are defined by an irreducible polynomial. Furthermore, we show that if two surfaces have the same asymptotic behavior, the Hausdorff distance between them is finite. All these concepts are new and represent a great advance for the study of surfaces and their applications.
%K Algebraic surfaces implicitly defined
%K Infinity branch
%K Convergent branch
%K Asymptotic behavior
%K Approaching surfaces
%K Matemáticas
%K Mathematics
%~ Biblioteca Universidad de Alcala