Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras

Authors:
Willem A. de Graaf;Jana Pílniková;Josef Schicho
Affiliations:
University of Trento, Italy;Comenius University, Bratislava, Slovakia;RICAM, Linz, Austria
Venue:
Journal of Symbolic Computation
Year:
2009

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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.