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Rational Algebraic Curves: A Computer Algebra Approach
Paperback
Series: Algorithms and Computation in Mathematics, Book 22
AlgebraGeneral ComputersGeometry
ISBN13: 9783642092916
Publisher: Springer
Published: Nov 20 2010
Pages: 270
Weight: 0.87
Height: 0.59 Width: 6.14 Depth: 9.21
Language: English
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. It provides a nice and easy introduction to the topic for students.
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