Rational Algebraic Curves: A Computer Algebra Approach / Edition 1

Rational Algebraic Curves: A Computer Algebra Approach / Edition 1

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by J. Rafael Sendra, Franz Winkler, Sonia Perez-Diaz
     
 

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ISBN-10: 3642092918

ISBN-13: 9783642092916

Pub. Date: 11/19/2010

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783642092916
Publisher:
Springer Berlin Heidelberg
Publication date:
11/19/2010
Series:
Algorithms and Computation in Mathematics Series, #22
Edition description:
Softcover reprint of hardcover 1st ed. 2008
Pages:
270
Product dimensions:
0.59(w) x 6.14(h) x 9.21(d)

Related Subjects

Table of Contents

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

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