Rational Parametrizations, Intersection Theory, and Newton Polytopes

Carlos D’Andrea,Martín Sombra

doi:10.1007/978-1-4419-0999-2_2

Rational Parametrizations, Intersection Theory, and Newton Polytopes

Carlos D’Andrea, Martín Sombra

https://doi.org/10.1007/978-1-4419-0999-2_2

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Publication Date: Jan 1, 2009

Citations: 15

Affiliation: University of Barcelona, Institut de Mathématiques de Bordeaux, University of Bordeaux

#Intersection Theory #Newton Polytope + Show 4 more

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AbstractThe 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.KeywordsParametric curveimplicit equationNewton polytopetropical geometryIntersection TheoryAMS(MOS) 2000 subject classificationsPrimary 14Q05Secondary 12Y0552B2014C17

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