9783642092916: Rational Algebraic Curves: A Computer Algebra Approach

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. It provides a nice and easy introduction to the topic for students.

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Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783540737247: Rational Algebraic Curves: A Computer Algebra Approach

Edition présentée

ISBN 10 :  3540737243 ISBN 13 :  9783540737247
Editeur : Springer-Verlag Berlin and Heide..., 2007
Couverture rigide