# 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} }

- Published 2018
DOI:10.2140/ant.2018.12.99

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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## Automorphisms of cubic surfaces in positive characteristic

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## On the Fano variety of linear spaces contained in two odd-dimensional quadrics

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