Covering rational ruled surfaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 03 Mar 2017Embargo end date: 01 Jan 2014 Spain English Publisher:American Mathematical Society (AMS)Journal:Mathematics of Computation, volume 86, pages 2,861-2,875 (issn: 0025-5718, eissn: 1088-6842,

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Authors: Sendra Pons, Juan Rafael; Villarino Cabellos, Carlos; Sevilla, David;

doi: 10.1090/mcom/3193 , 10.48550/arxiv.1406.2140

arXiv: 1406.2140

handle: 10017/35326

Covering rational ruled surfaces

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Abstract

We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.

19 pages, 2 figures in jpg. v2: minor correction of Example 1. v3: updated acknowledgements

Country

Spain

Related Organizations

University of Alcalá
Spain
University of Extremadura
Spain

Keywords

Computer Science - Symbolic Computation, FOS: Computer and information sciences, Normality, Base points, parametrization of ruled surfaces, Matemáticas, Computational aspects of algebraic surfaces, parametrization of rational surfaces, Symbolic Computation (cs.SC), Symbolic computation and algebraic computation, Mathematics - Algebraic Geometry, affine base points, normality, FOS: Mathematics, Parametrization of ruled surfaces, Algebraic Geometry (math.AG), Mathematics

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