Rational Algebraic Curves
| Autor: | J. Rafael Sendra, Franz Winkler, Sonia Pérez-Diaz |
|---|---|
| EAN: | 9783540737254 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 20.11.2010 |
| Untertitel: | A Computer Algebra Approach |
| Kategorie: | |
| Schlagworte: | Algebra Algebraic Geometry B Math Applications in Computer Science Symbolic and Algebraic Manipulation algebraic curves computer algebra geometric computation rational parametrization |
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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.
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