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

✍ Scribed by J. Rafael Sendra, Franz Winkler, Sonia Pérez-Diaz

Year: 2007
Tongue: English
Leaves: 280
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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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