English

On plane quartics with a Galois invariant Steiner hexad

Algebraic Geometry 2019-05-31 v2

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.

Keywords

Cite

@article{arxiv.1708.00071,
  title  = {On plane quartics with a Galois invariant Steiner hexad},
  author = {Andreas-Stephan Elsenhans and Jörg Jahnel},
  journal= {arXiv preprint arXiv:1708.00071},
  year   = {2019}
}