Recognition of Polynomial Plane Curves Under Affine Transformations |
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| Authors: | Jorge Mozo-Fernández Carlos Munuera |
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| Affiliation: | (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 |
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| 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. Received: February 1, 2001; revised version: February 8, 2002 |
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