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