论文标题
仿射纤维的局部nilpotent推导的等级和刚性
Rank and rigidity of locally nilpotent derivations of affine fibrations
论文作者
论文摘要
在此博览会中，我们提出了仿射纤维局部nilpotent推导的等级和刚性的概念。我们表明，该概念类似于多项式代数的局部nilpotent衍生物的等级和刚性的感知。我们的结果表征了$ \ mathbb {a}^3 $ - 纤维的本地nilpotent衍生物，通过根据其等级对固定点的无局部nilpotent派生进行分类，具有切片。
In this exposition, we propose a notion of rank and rigidity of locally nilpotent derivations of affine fibrations. We show that the concept is analogous to the perception of rank and rigidity of locally nilpotent derivations of polynomial algebras. Our results characterize locally nilpotent derivations of $\mathbb{A}^3$-fibrations having slice by classifying the fixed point free locally nilpotent derivations in terms of their ranks.
