Abstract
Abstract
There exist three vector fields with complete polynomial flows on
{\mathbb{C}^{n}}
,
{n\geq 2}
, which generate the Lie algebra generated by all algebraic vector fields on
{\mathbb{C}^{n}}
with complete polynomial flows. In particular, the flows of these vector fields generate a group that acts infinitely transitively.
The analogous result holds in the holomorphic setting.
Subject
Applied Mathematics,General Mathematics
Reference28 articles.
1. Free dense subgroups of holomorphic automorphisms;Math. Z.,2015
2. Infinite transitivity, finite generation, and Demazure roots;Preprint,2018
3. The density property for complex manifolds and geometric structures;J. Geom. Anal.,2001
4. On the present state of the Andersén–Lempert theory;Affine Algebraic Geometry,2011
5. The algebraic density property for affine toric varieties;J. Pure Appl. Algebra,2015
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献