The parametric degree of a rational surface

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dc.creatorSchicho, Josef
dc.date2005-06-06
dc.date.accessioned2026-07-07T05:20:33Z
dc.date.available2026-07-07T05:20:33Z
dc.descriptionThe parametric degree of a rational surface is the degree of the polynomials in the smallest possible proper parametrization. An example shows that the parametric degree is not a geometric but an arithmetic concept, in the sense that it depends on the choice of the ground field. In this paper, we introduce two geometrical invariants of a rational surface, namely level and keel. These two numbers govern the parametric degree in the sense that there exist linear upper and lower bounds.
dc.description16 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0506097
dc.identifierhttp://arxiv.org/abs/math/0506097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75416
dc.subjectAlgebraic Geometry
dc.subject14E08; 14E30; 14G05
dc.titleThe parametric degree of a rational surface
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