Rational Algebraic Curves
Sendra, J. Rafael / Pérez-Diaz, Sonia / Winkler, Franz
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 intersectio...