E-Book, Englisch, Band 22, 270 Seiten, eBook
Sendra / Winkler / Pérez-Diaz Rational Algebraic Curves
2008
ISBN: 978-3-540-73725-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
A Computer Algebra Approach
E-Book, Englisch, Band 22, 270 Seiten, eBook
Reihe: Algorithms and Computation in Mathematics
ISBN: 978-3-540-73725-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
and Motivation.- Plane Algebraic Curves.- The Genus of a Curve.- Rational Parametrization.- Algebraically Optimal Parametrization.- Rational Reparametrization.- Real Curves.
