A Note on Locally Nilpotent Derivations and Variables of k[X, Y, Z]
Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 535-543

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We strengthen certain results concerning actions of $\left( \mathbb{C},\,+ \right)$ on ${{\mathbb{C}}^{3}}$ and embeddings of ${{\mathbb{C}}^{2}}$ in ${{\mathbb{C}}^{3}}$ , and show that these results are in fact valid over any field of characteristic zero.
DOI : 10.4153/CMB-2009-054-5
Mots-clés : 14R10, 14R20, 14R25, 13N15, locally nilpotent derivations, group actions, polynomial automorphisms, variable, affine space
Daigle, Daniel; Kaliman, Shulim. A Note on Locally Nilpotent Derivations and Variables of k[X, Y, Z]. Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 535-543. doi: 10.4153/CMB-2009-054-5
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     title = {A {Note} on {Locally} {Nilpotent} {Derivations} and {Variables} of {k[X,} {Y,} {Z]}},
     journal = {Canadian mathematical bulletin},
     pages = {535--543},
     year = {2009},
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     doi = {10.4153/CMB-2009-054-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-054-5/}
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