Algorithms and Computation in Mathematics
1 primary work
Book 22
Rational Algebraic Curves
by J Rafael Sendra, Franz Winkler, and Sonia P Rez-Diaz
Published 19 October 2007
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.