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Parametrization of algebraic curves defined by sparse equations

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Abstract

We present a new method for the rational parametrization of plane algebraic curves. The algorithm exploits the shape of the Newton polygon of the defining implicit equation and is based on methods of toric geometry.

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Authors and Affiliations

  1. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstraße 69, 4040, Linz, Austria

    Tobias Beck & Josef Schicho

Authors
  1. Tobias Beck
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  2. Josef Schicho
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Correspondence to Josef Schicho.

Additional information

The authors were supported by the FWF (Austrian Science Fund) in the frame of the research projects SFB 1303 and P15551.

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Beck, T., Schicho, J. Parametrization of algebraic curves defined by sparse equations. AAECC 18, 127–150 (2007). https://doi.org/10.1007/s00200-006-0026-5

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  • DOI: https://doi.org/10.1007/s00200-006-0026-5

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