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Rational Algebraic Curves

A Computer Algebra Approach

Paperback Engels 2010 9783642092916
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Samenvatting

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.

Specificaties

ISBN13:9783642092916
Taal:Engels
Bindwijze:paperback
Aantal pagina's:270
Uitgever:Springer Berlin Heidelberg

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Inhoudsopgave

and Motivation.- Plane Algebraic Curves.- The Genus of a Curve.- Rational Parametrization.- Algebraically Optimal Parametrization.- Rational Reparametrization.- Real Curves.

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        Rational Algebraic Curves