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Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras
Authors:Willem A. de Graaf,Jana Pí  lniková  ,Josef Schicho
Affiliation:1. University of Trento, Italy;2. Comenius University, Bratislava, Slovakia;3. RICAM, Linz, Austria
Abstract:For a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a rational parametrization of the surface and construct one in the affirmative case. We define and use the Lie algebra of the surface to reach the aim.
Keywords:Del Pezzo surface   Parametrization   Lie algebra
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