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arXiv · 1804.09033

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

Michiel de Bondt·Xiaosong Sun
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Abstract

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

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Michiel de Bondt, Xiaosong Sun. 2018-04-21. Quadratic homogeneous polynomial maps $H$ and Keller maps $x+H$ with $rk JH=3$. https://arxiv.org/abs/1804.09033

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