Double quadrics with large automorphism groups

@article{Przyjalkowski2016DoubleQW,
  title={Double quadrics with large automorphism groups},
  author={Victor Przyjalkowski and Constantin Shramov},
  journal={Proceedings of the Steklov Institute of Mathematics},
  year={2016},
  volume={294},
  pages={154-175}
}
We classify nodal Fano threefolds that are double covers of smooth quadrics branched over intersections with quartics and are acted on by finite simple non-abelian groups. We also study their rationality. 

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