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

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.

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Veröffentlicht in:Canadian mathematical bulletin 2009-12, Vol.52 (4), p.535-543
Hauptverfasser: Daigle, Daniel, Kaliman, Shulim
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0008-4395
1496-4287
DOI:10.4153/CMB-2009-054-5