论文标题
等级2的差异多项式代数的驯服和野生自动形态
Tame and wild automorphisms of differential polynomial algebras of rank 2
论文作者
论文摘要
事实证明，在两个变量中的特征性$ 0 $ x，y $ x，y $ x，y $ m $ coldivations $δ__1，fretugeutivations $δ__1，\ ldots，δ__m$ amalgam的产品。在$ m \ geq 2 $派生的情况下，代数$ k \ {x，y \} $的野生自动形态的示例。
It is proved that the tame automorphism group of a differential polynomial algebra $k\{x,y\}$ over a field $k$ of characteristic $0$ in two variables $x,y$ with $m$ commuting derivations $δ_1, \ldots, δ_m$ is a free product with amalgamation. An example of a wild automorphism of the algebra $k\{x,y\}$ in the case of $m\geq 2$ derivations is constructed.
