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Rational Algebraic Curves: A Computer Algebra Approach

Rational Algebraic Curves: A Computer Algebra Approach - Hardback

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Product Details
Author:
J. Rafael Sendra
Publisher:
Springer
Publication Date:
Oct 19, 2007
Number of pages:
270 pages
Binding:
Hardback or Cased Book
ISBN-10:
3540737243
ISBN-13:
9783540737247

Overview

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.


  • | Author: J. Rafael Sendra
  • | Publisher: Springer
  • | Publication Date: Oct 19, 2007
  • | Number of Pages: 270 pages
  • | Binding: Hardback or Cased Book
  • | ISBN-10: 3540737243
  • | ISBN-13: 9783540737247

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