Curve Parametrization over Optimal Field Extensions Exploiting the Newton Polygon

Tobias Beck () and Josef Schicho ()

Chapter 7 in Geometric Modeling and Algebraic Geometry, 2008, pp 119-140 from Springer

Abstract: This paper describes an algorithm for rational parametrization of plane algebraic curves of genus zero. It exploits the shape of the Newton polygon. The computed parametrization has coefficients in an optimal field extension, which is of degree one or two.

Keywords: Curve Parametrization; Prime Divisor; Algebraic Curf; Isosceles Triangle; Newton Polygon (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-72185-7_7

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DOI: 10.1007/978-3-540-72185-7_7

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