Real Algebraic and Analytic Geometry

Preprint Server

RAAG_NETWORK.gif
Previous   Next
221. R. Rubio, J.M. Serradilla, M.P. Vélez:
Detecting real singularities of curves from a rational parametrization.

e-mail:

Submission: 2007, March 2.

Abstract:
In this paper we give an algorithm that detects real singularities and counts local branches of real rational curves without knowing an implicitization. The main idea behind this is a generalization of the D-resultant (see van den Essen and Yu (1997)) to n rational functions. This allows us to describe all the singularities as solutions of a system of polynomials in one variable.

Mathematics Subject Classification (2000): 14Q05, 14H20, 14P05.

Keywords and Phrases: Algebraic curves, rational parametrizations, singular points, generalized resultants.

Full text, 8p.: pdf 190k.


Server Home Page