Abstract
We present a method to construct non-singular cubic surfaces over ℚ with a Galois invariant double-six. We start with cubic surfaces in the hexahedral form of L. Cremona and Th. Reye. For these, we develop an explicit version of Galois descent.
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Elsenhans, AS., Jahnel, J. Cubic surfaces with a Galois invariant double-six. centr.eur.j.math. 8, 646–661 (2010). https://doi.org/10.2478/s11533-010-0036-1
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DOI: https://doi.org/10.2478/s11533-010-0036-1