Abstract
The study of the Newton polytope of a parametric hypersurface is currently receiving a lot of attention both because of its computational interest and its connections with Tropical Geometry, Singularity Theory, Intersection Theory and Combinatorics. We introduce the problem and survey the recent progress on it, with emphasis in the case of curves.
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D’Andrea is partially supported by the Programa Ramón y Cajal of the Ministerio de Ciencia e Innovación (Spain) and by the research project MTM2007–67493. Sombra is partially supported by the research project MTM2006-14234
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D’Andrea, C., Sombra, M. (2009). Rational Parametrizations, Intersection Theory, and Newton Polytopes. In: Emiris, I., Sottile, F., Theobald, T. (eds) Nonlinear Computational Geometry. The IMA Volumes in Mathematics and its Applications, vol 151. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0999-2_2
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DOI: https://doi.org/10.1007/978-1-4419-0999-2_2
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