Showing math.AGShow all
3 papers · 1 filter
math.AG2025
Infinity Branches and Asymptotic Analysis of Algebraic Space Curves: New Techniques and Applications
Sonia Pérez-Díaz, Li-Yong Shen, Xin-Yu Wang +1
Let C represent an irreducible algebraic space curve defined by the real polynomials fi(x1, x2, x3) for i = 1, 2. It is a recognized fact that a birational relationship invariably…
math.AG2023
Computing branches and asymptotes of meromorphic functions
M. Fernandez de Sevilla, R. Magdalena Benedicto, S. Perez-Diaz
In this paper, we first summarize the existing algorithms for computing all the generalized asymptotes of a plane algebraic curve implicitly or parametrically defined. From these p…
math.AG2017
The limit point and the T--function
Angel Blasco, Sonia Pérez-Díaz
Let be a rational parametrization of an algebraic space curve . In this paper, we introduce the notion of limit point, , of the given…