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We describe a normal form for a smooth intersection of two quadrics ineven-dimensional projective space over an arbitrary field of characteristic 2.We use this to obtain a description of the automorphism group of such avariety. As an application, we show that every quartic del Pezzo surface over aperfect field of characteristic 2 has a canonical rational point and, thus, isunirational.

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