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Cubic surfaces with a Galois invariant double-six

Andreas-Stephan Elsenhans, Jörg Jahnel (2010)

Open Mathematics

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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