Universal Rational Parametrizations and Toric Varieties

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dc.creatorCox, David
dc.creatorKrasauskas, Rimvydas
dc.creatorMustata, Mircea
dc.date2003-03-25
dc.date.accessioned2026-07-07T04:56:23Z
dc.date.available2026-07-07T04:56:23Z
dc.descriptionThis note proves the existence of universal rational parametrizations. The description involves homogeneous coordinates on a toric variety coming from a lattice polytope. We first describe how smooth toric varieties lead to universal rational parametrizations of certain projective varieties. We give numerous examples and then discuss what happens in the singular case. We also describe rational maps to smooth toric varieties.
dc.description25 pages. To appear in the Procedings of the Workshop on Algebraic Geometry and Geometric Modeling, Vilnius, Lithuania, August 2002
dc.identifierhttps://arxiv.org/abs/math/0303316
dc.identifierhttp://arxiv.org/abs/math/0303316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66899
dc.subjectAlgebraic Geometry
dc.subject14M25(primary); 65D17(secondary)
dc.titleUniversal Rational Parametrizations and Toric Varieties
dc.typetext

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