Rational Algebraic Curves: A Computer Algebra Approach (Algorithms and Computation in Mathematics, 22)
ISBN-10:
3642092918
ISBN-13:
9783642092916
Author(s): Winkler, Franz; Pérez-Diaz, Sonia
Edition: Softcover reprint of hardcover 1st ed. 2008
Description:
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.
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