Abstract
We describe a normal form for a smooth intersection of two quadrics in even-dimensional projective spaces 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.
Citation
Igor Dolgachev. Alexander Duncan. "Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2." Algebra Number Theory 12 (1) 99 - 130, 2018. https://doi.org/10.2140/ant.2018.12.99
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