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

Published online by Cambridge University Press:  20 November 2018

Daniel Daigle  and
Shulim Kaliman
Daniel Daigle
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, K1N 6N5 e-mail: ddaigle@uottawa.ca
Shulim Kaliman
Affiliation:
Department of Mathematics, University of Miami, Coral Gables, FL 33124, U.S.A. e-mail: kaliman@math.miami.edu
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Abstract

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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.

Keywords

14R1014R2014R2513N15locally nilpotent derivationsgroup actionspolynomial automorphismsvariableaffine space
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 4 , 01 December 2009 , pp. 535 - 543
Copyright
Copyright © Canadian Mathematical Society 2009

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