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Book synopsis

The central problem considered in this book 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, i.e. its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. Various optimality criteria for rational parametrizations of algebraic curves are discussed. §This book is mainly intended for graduate students and researchers in constructive algebraic curve geometry.

Book details

Book category Books in English Mathematics & science Mathematics Algebra

• Full title: Rational Algebraic Curves
• Subtitle: A Computer Algebra Approach
• Author: J. R. Sendra, Franz Winkler, Sonia Pérez-Diaz
• Language: English
• Binding: Hardback
• Number of pages: 300
• EAN: 9783540737247
• ISBN: 3540737243
• ID: 01568903
• Publisher: Springer, Berlin
• Weight: 545 g
• Dimensions: 234 × 156 × 17 mm
• Date of publishing: 23. October 2007

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