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Recognition of Polynomial Plane Curves Under Affine Transformations

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

 We present a new method to decide if two algebraic plane curves are (or are not) affine equivalent. The method is based on describing the curves by means of local parametrizations around related points. To that end we introduce a new type of parametrizations, called Ancochea parametrizations, which are canonical under affine transformations.

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Authors and Affiliations

  1. Department of Applied Mathematics (ETS. Arquitectura), University of Valladolid, Avda. Salamanca SN, 47014 Valladolid, Castilla, Spain (e-mail: jmozo@maf.uva.es, cmunuera@modulor.arq.uva.es), , , , , , ES

    Jorge Mozo-Fernández & Carlos Munuera

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  1. Jorge Mozo-Fernández
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  2. Carlos Munuera
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Received: February 1, 2001; revised version: February 8, 2002

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Mozo-Fernández, J., Munuera, C. Recognition of Polynomial Plane Curves Under Affine Transformations. AAECC 13, 121–136 (2002). https://doi.org/10.1007/s002000200095

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  • DOI: https://doi.org/10.1007/s002000200095

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