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A Note on Locally Nilpotent Derivations\\ and Variables of $k[X,Y,Z]$

  Published:2009-12-01
 Printed: Dec 2009
  • Daniel Daigle
  • Shulim Kaliman
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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 locally nilpotent derivations, group actions, polynomial automorphisms, variable, affine space
MSC Classifications: 14R10, 14R20, 14R25, 13N15 show english descriptions Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)
Group actions on affine varieties [See also 13A50, 14L30]
Affine fibrations [See also 14D06]
Derivations
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
 

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