Rational algebraic curvesa computer algebra approach
- Sendra Ferrer, Rafael
- Pérez Díaz, Sonia
- Winkler, F.
Éditorial: Berlin : Springer, 2008
ISBN: 978-3-540-73725-4, 978-3-540-73724-7
Année de publication: 2008
Type: Livre
Résumé
The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves. It is ideal for graduate students and researchers in constructive algebraic curve geometry.