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Rational Algebraic Curves: A Computer Algebra Approach (Algorithms and Computation in Mathematics)

Posted on 2010-07-19




Name:Rational Algebraic Curves: A Computer Algebra Approach (Algorithms and Computation in Mathematics)
ASIN/ISBN:3540737243
Publish Date:2007-11-08
Pages:270 pages
File size:2 Mb
Publish Date: 2007-11-08
ISBN: 3540737243
Pages: 270 pages
File Type: PDF
File Size: 2 MB
Other Info: Springer
   Rational Algebraic Curves: A Computer Algebra Approach (Algorithms and Computation in Mathematics)

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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.

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