Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras |
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Authors: | Willem A. de Graaf,Jana Pí lniková ,Josef Schicho |
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Affiliation: | 1. University of Trento, Italy;2. Comenius University, Bratislava, Slovakia;3. RICAM, Linz, Austria |
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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. |
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Keywords: | Del Pezzo surface Parametrization Lie algebra |
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