On some properties of locally nilpotent derivations

被引：23

作者：

Daigle, D

机构：

[1] Department of Mathematics, University of Ottawa, Ottawa

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1997年 / 114卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0022-4049(95)00173-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k be a field of characteristic zero, and let B be a k-domain. We characterize, among all subalgebras A of B, those which are kernels of locally nilpotent derivations D : B --> B. If A is such a ring, and if we assume that B is a UFD and that both A and B are finitely generated over k, then we show that the set of nonsmooth points of the morphism SpecB --> SpecA has codimension greater than one in SpecB. Using this result, we give a jacobian formula for certain locally nilpotent derivations of k[X(1),...,X(n)].

引用

页码：221 / 230

页数：10

共 12 条

[1]

[Anonymous], 1985, ALGEBRAIC TOPOLOGICA

[2]

[Anonymous], 1967, PUB MATH IHES

[3] A NON-TRIANGULAR ACTION OF GA ON A3 [J].