Cubic surfaces with a Galois invariant pair of Steiner trihedra
classification
🧮 math.AG
keywords
cubicgaloissurfacesinvariantpairsteinertrihedracayley
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We present a method to construct non-singular cubic surfaces over $\bbQ$ with a Galois invariant pair of Steiner trihedra. We start with cubic surfaces in a form generalizing that of A. Cayley and G. Salmon. For these, we develop an explicit version of Galois descent.
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