Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2
Algebraic Geometry
2018-04-04 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.1510.06803,
title = {Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2},
author = {Igor Dolgachev and Alexander Duncan},
journal= {arXiv preprint arXiv:1510.06803},
year = {2018}
}
Comments
35 pages; v2: introduction expanded with some new theorems