RT info:eu-repo/semantics/article
T1 Asymptotic behavior of a surface implicitly defined
A1 Campo Montalvo, Elena
A1 Fernández De Sevilla Vellón, María De Los Ángeles
A1 Pérez Díaz, Sonia
K1 Algebraic surfaces implicitly defined
K1 Infinity branch
K1 Convergent branch
K1 Asymptotic behavior
K1 Approaching surfaces
K1 Matemáticas
K1 Mathematics
AB 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.
PB MDPI
SN 2227-7390
YR 2022
FD 2022-04-25
LK http://hdl.handle.net/10017/55108
UL http://hdl.handle.net/10017/55108
LA eng
NO Agencia Estatal de Investigación
DS MINDS@UW
RD 24-abr-2024