Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras
Willem A. de Graaf, Jana Pílniková, Josef Schicho
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. The algorithm has been implemented in Magma.
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