Titlebook: Rational Algebraic Curves; A Computer Algebra A J. Rafael Sendra,Franz Winkler,Sonia Pérez-Díaz Textbook 2008 Springer-Verlag Berlin Heidel

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書目名稱Rational Algebraic Curves讀者反饋學(xué)科排名

精密

Plane Algebraic Curves,ction 2.4 is devoted to the study of linear systems of curves. We will see in the following chapters that this notion is crucial for solving the problem of parametrizing a rational curve. The chapter ends with Sect. 2.5 where we show how to locally parametrize a curve around a point of the curve by means of Puiseux series.

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Rational Reparametrization,n Section 6.2, and normality of parametrizations in Section 6.3. There are other criteria that might be considered. For instance, as we did in Chap. 5, one may ask for the algebraic optimality of the parametrization. For this case we refer to [ARS97], [ARS99], [ARS04], [RSV04], [SeV01], [SeV02].

Living-Will

The Genus of a Curve, divisors on C and their associated linear spaces.We do not want to repeat this classical development here (for further details see for instance [Ful89] or [Wal50]), but we give a kind of road map for getting to the definition of the genus and from there to a method for computing it.

六個才偏離

Textbook 2008rn architectural designs, in number theoretic problems, in models of b- logical shapes, in error-correcting codes, and in cryptographic algorithms. Recently they have gained additional practical importance as central objects in computer-aided geometric design. Modern airplanes, cars, and household a

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Plane Algebraic Curves,he general working environment of the book. This chapter consists of five sections. In Sect. 2.1, we present the basic notions on curves distinguishing between affine and projective curves. Section 2.2 is devoted to polynomial and rational functions. The material of this section is presented for the

Invertebrate

The Genus of a Curve,aic curves in general). In fact, only curves of genus 0 can be rationally parametrized. So in the process of parametrization we will first compute the genus of the curve .. This will involve an analysis of the singularities of ., and we will determine the genus as the deficiency between a bound on t

MUMP

Rational Parametrization,type of curves and we show how to algorithmically parametrize a rational curve. The chapter consists of three conceptual blocks. The first one (Sect. 4.1) is devoted to the notion of rational parametrization of a curve, and to the study of the class of rational curves, i.e., curves having a rational

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