Characterization of acute proinflammatory cytokine responses within the cecal mucosa following infection with Serpulina hyodysenteriae

http://www.worldcat.org/oclc/3954009

Classification of cubic homogeneous polynomial maps with Jacobian matrices of rank two

Let $K$ be any field with $\textup{char}K\neq 2,3$. We classify all cubic homogeneous polynomial maps $H$ over $K$ with $\textup{rk} JH\leq 2$. In particular, we show that, for such an $H$, if $F=x+H$ is a Keller map then $F$ is invertible, and furthermore $F$ is tame if the dimension $n\neq 4$.Comment: arXiv admin note: text overlap with arXiv:1609.0975