Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras

Details Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras

2005-12-20

arxiv.org/abs/math/0512477v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

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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