Journal
ALGEBRA & NUMBER THEORY
Volume 12, Issue 1, Pages 99-130Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/ant.2018.12.99
Keywords
quadratic forms; characteristic 2; quadrics
Categories
Funding
- National Science Foundation [DMS 0943832]
- National Security Agency [H98230-16-1-0309]
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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.
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