论文标题

维度两个多项式衍生的局部nilltotence的表征

A characterization of local nilpotence for dimension two polynomial derivations

论文作者

Pan, Ivan

论文摘要

令K为代数封闭的字段。我们证明,两个变量中的多项式k衍生$ d $在且仅当多项式k-自动形态的亚组与d通勤的d允许元素任意大的元素时。

Let K be an algebraically closed field. We prove that a polynomial K-derivation $D$ in two variables is locally nilpotent if and only if the subgroup of polynomial K-automorphisms which commute with D admits elements whose degree is arbitrary big.

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