Algorithms and Computation in Mathematics: Rational Algebraic Curves: A Computer Algebra Approach (Hardcover)

J Rafael Sendra; Franz Winkler; Sonia Perez-Diaz
Springer
 9783540737247
3-540-73724-3

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.

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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.