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2017 | OriginalPaper | Chapter

4. Dimension Two

Author : Gene Freudenburg

Published in: Algebraic Theory of Locally Nilpotent Derivations

Publisher: Springer Berlin Heidelberg

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Abstract

This chapter examines locally nilpotent R-derivations of R[x, y] = R [2] for certain rings R containing \(\mathbb{Q}\). This set is denoted LND R (R[x, y]).

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Appendix
Available only for authorised users
Footnotes
1
As noted in the Introduction, this description of the planar \(\mathbb{G}_{a}\)-actions was first given by Ebey in 1962 [133]. The statement about tame automorphisms is not explicit in his paper, but can be inferred from the proof.
 
2
The authors of the paper [22] mistakenly omitted the divergence condition when they quoted the result of Stein in their introduction.
 
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Metadata
Title
Dimension Two
Author
Gene Freudenburg
Copyright Year
2017
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-55350-3_4

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