On cubic surfaces with a rational line

Details On cubic surfaces with a rational line On cubic surfaces with a rational line

2011-06-21

arxiv.org/abs/1106.4130v1

Mathematics

Algebraic Geometry

Scientific paper

We report on our project to construct non-singular cubic surfaces over $\bbQ$
with a rational line. Our method is to start with degree 4 Del Pezzo surfaces
in diagonal form. For these, we develop an explicit version of Galois descent.

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