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Computations of Keller maps over fields with $tfrac16$

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 نشر من قبل Michiel de Bondt
 تاريخ النشر 2016
  مجال البحث
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 تأليف Michiel de Bondt




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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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