Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2

@inproceedings{Dolgachev2018RegularPO,
  title={Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2},
  author={Igor Dolgachev and Alexander Duncan},
  year={2018}
}
We describe a normal form for a smooth intersection of two quadrics in even-dimensional projective space over an arbitrary field of characteristic 2. We use this to obtain a description of the automorphism group of such a variety. As an application, we show that every quartic del Pezzo surface over a perfect field of characteristic 2 has a canonical rational point and, thus, is unirational. 

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