Newton polytopes of constants of locally nilpotent derivations
Newton polytopes of constants of locally nilpotent derivations
复制标题
局部幂零导数常数的牛顿多胞形
DOI：
10.1080/00927870008827048
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发表时间：
2000
影响因子：
0.7
通讯作者：
L. Makar
中科院分区：
文献类型：
--
作者：
Ofer Hadasf;L. Makar
考虑特征零域上的几个交换变量中的多项式代数的局部幂零导数的常数的牛顿多胞形。结果表明，这些多面体的顶点位于坐标超平面上。获得了这些多胞体所有可能边缘的完整描述。在两个变量的情况下，作为推论获得了伦奇勒局部幂零导数的分类。
The Newton polytopes of constants of locally nilpotent derivations of the algebra of polynomials in several commuting variables over a field of characteristic zero are considered. It is shown that the vertices of these polytopes lie on the coordinate hyperplanes. A complete description of all possible edges of these polytopes is obtained. In the two variable case Rentschler's classification of locally nilpotent derivations is obtained as a corollary.