用$\tfrac16$计算域上的Keller映射
Computations of Keller maps over fields with $\tfrac16$
摘要：
我们对Keller映射$x + H$在$\tfrac16$维上进行了分类，其中$H$是齐次的，并且（1）度$H = 3$和rk $JH \le 2$ ;（2）度$H = 3$和$n \le 4$ ;（3）度$H = 4$和$n \le 3$ ;（4）度$H = 4 = n$和$H_1, H_2, H_3, H_4$线性依赖于$K$。在我们的证明这些分类，我们制定（和证明）几个结果比这些分类所需的更普遍。这些结果之一是在具有$\tfrac16$的域上的所有齐次多项式映射$H$如（1）中的分类。
英文摘要：
We classify Keller maps $x + H$ in dimension $n$ over fields with $\tfrac16$, for which $H$ is homogeneous, and (1) deg $H = 3$ and rk $JH \le 2$; (2) deg $H = 3$ and $n \le 4$; (3) deg $H = 4$ and $n \le 3$; (4) deg $H = 4 = n$ and $H_1, H_2, H_3, H_4$ are linearly dependent over $K$. In our proof of these classifications, we formulate (and prove) several results which are more general than needed for these classifications. One of these results is the classification of all homogeneous polynomial maps $H$ as in (1) over fields with $\tfrac16$.
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