activity
20132017
most citedAsymptotes and Perfect Curves

18 citations · 64 across the 5 of their papers we have counts for

collaborators

6 papers

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…

math.AG2017★ 4 cited

Resultants and Singularities of Parametric Curves

Angel Blasco, Sonia Pérez-Díaz

Let be an algebraic space curve defined parametrically by . In this paper, we introduce a polynomial, the T--function, ,…

math.AG2014★ 7 cited

Characterizing the finiteness of the Hausdorff distance between two algebraic curves

Angel Blasco, Sonia Pérez-Díaz

In this paper, we present a characterization for the Hausdorff distance between two given algebraic curves in the -dimensional space (parametrically or implicitly defined) to be…

math.AG2014★ 17 cited

Asymptotes of Space Curves

Angel Blasco, Sonia Pérez-Díaz

In this paper, we generalize the results presented in [5] for the case of real algebraic space curves. More precisely, given an algebraic space curve C (parametrically or implicitl…

math.AG2013★ 18 cited

Asymptotes and Perfect Curves

Angel Blasco, Sonia Pérez-Díaz

We develop a method for computing all the {\it generalized asymptotes} of a real plane algebraic curve over implicitly defined by an irreducible polynomial $f(x,y…

math.AG2013★ 18 cited

Asymptotic Behavior of an Implicit Algebraic Plane Curve

A. Blasco, S. Perez-Diaz

In this paper, we introduce the notion of infinity branches as well as approaching curves. We present some properties which allow us to obtain an algorithm that compares the behavi…