 |
|
A Note on Locally Nilpotent Derivations\\ and Variables of $k[X,Y,Z]$ |
Canad. Math. Bull. 52(2009), 535-543
Published:2009-12-01
Printed: Dec 2009
Printed: Dec 2009
- Daniel Daigle
- Shulim Kaliman
Abstract
We strengthen certain results
concerning actions of $(\Comp,+)$ on $\Comp^{3}$
and embeddings of $\Comp^{2}$ in $\Comp^{3}$,
and show that these results are in fact valid
over any field of characteristic zero.
| Keywords: | locally nilpotent derivations, group actions, polynomial automorphisms, variable, affine space |
| MSC Classifications: |
14R10 - Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) 14R20 - Group actions on affine varieties [See also 13A50, 14L30] 14R25 - Affine fibrations [See also 14D06] 13N15 - Derivations |