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arXiv · 1510.06803

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

Igor Dolgachev·Alexander Duncan
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Abstract

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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Igor Dolgachev, Alexander Duncan. 2017-11-09. Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2. https://doi.org/10.2140/ant.2018.12.99

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