Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras

Jana P\'ilnikov\'a; Josef Schicho; Willem A. de Graaf

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Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras

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arxiv math/0512477 v1 pith:Z3OOKKHQ submitted 2005-12-20 math.AG

Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras

Willem A. de Graaf , Jana P\'ilnikov\'a , Josef Schicho This is my paper

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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.

Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras

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