Quadratic homogeneous polynomial maps $H$ and Keller maps $x+H$ with $rkJH=3$

Abstract

We classify all quadratic homogeneous polynomial maps $H$ and Keller maps of the form $x+H$, for which $rkJH=3$, over a field $K$ of arbitrary characteristic. In particular, we show that such a Keller map (up to a square part if $charK=2$) is a tame automorphism.

arXiv admin note: substantial text overlap with arXiv:1711.00904