Rational algebraic curves : a computer algebra approach
著者
書誌事項
Rational algebraic curves : a computer algebra approach
（Algorithms and computation in mathematics, v. 22）
Springer, c2008
- pbk
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注記
"With 24 figures and 2 tables"
Bibliography: p. [257]-264
Includes index
内容説明・目次
内容説明
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.
目次
and Motivation.- Plane Algebraic Curves.- The Genus of a Curve.- Rational Parametrization.- Algebraically Optimal Parametrization.- Rational Reparametrization.- Real Curves.
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