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arXiv · 1106.4130

On cubic surfaces with a rational line

Andreas-Stephan Elsenhans·Jörg Jahnel
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Abstract

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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Andreas-Stephan Elsenhans, Jörg Jahnel. 2011-06-21. On cubic surfaces with a rational line. https://arxiv.org/abs/1106.4130

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