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arXiv · 1708.00071

On plane quartics with a Galois invariant Steiner hexad

Andreas-Stephan Elsenhans·Jörg Jahnel
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Abstract

We describe a construction of plane quartics with prescribed Galois operation on the 28 bitangents, in the particular case of a Galois invariant Steiner hexad. As an application, we solve the inverse Galois problem for degree two del Pezzo surfaces in the corresponding particular case.

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Andreas-Stephan Elsenhans, Jörg Jahnel. 2017-07-31. On plane quartics with a Galois invariant Steiner hexad. https://arxiv.org/abs/1708.00071

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