Quadratic homogeneous polynomial maps H and Keller maps x+H with rk JH=3
classification
🧮 math.AG
keywords
mapskellerhomogeneouspolynomialquadraticarbitraryautomorphismchar
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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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