Cubic surfaces with a Galois invariant pair of Steiner trihedra

Details Cubic surfaces with a Galois invariant pair of Steiner trihedra Cubic surfaces with a Galois invariant pair of Steiner trihedra

2010-06-08

arxiv.org/abs/1006.1474v1

Mathematics

Algebraic Geometry

Scientific paper

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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