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Rational Algebraic Curves: A Computer Algebra Approach

Rational Algebraic Curves: A Computer Algebra Approach




Author: Franz Winkler, J. Rafael Sendra, Sonia P?rez-Diaz
Type: eBook
Date Released: 2007
Format: pdf
Language: English
Page Count: 272
Isbn10 Code: 3540737243
Isbn13 Code: 9783540737247


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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