Computation of the degree of rational maps between curves

The degree of a rational map measures how often the map covers the image variety. In particular, when the rational map is a parametrization, the degree measures how often the parametrization traces the image. We show how the degree of rational maps between algebraic curves can be determined efficiently. In the process, we also give a complete proof of Sederberg’s approach for making a parametrization proper.

• Type: Conference
• Year: 2001
• Where: ISSAC
• Authors: J. Rafael Sendra, Franz Winkler
• Keywords: Image Variety, ISSAC 2001, Mathematics, Rational Map Measures, Rational Maps