A note on locally nilpotent derivations and variables of k[X, Y, Z]

Daniel Daigle; Shulim Kaliman

doi:10.4153/CMB-2009-054-5

A note on locally nilpotent derivations and variables of k[X, Y, Z]

Daniel Daigle, Shulim Kaliman

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We strengthen certain results concerning actions of (C, +) on C³ and embeddings of C² in C³, and show that these results are in fact valid over any field of characteristic zero.

Original language	English (US)
Pages (from-to)	535-543
Number of pages	9
Journal	Canadian Mathematical Bulletin
Volume	52
Issue number	4
DOIs	https://doi.org/10.4153/CMB-2009-054-5
State	Published - Oct 2009

Keywords

Affine space
Group actions
Locally nilpotent derivations
Polynomial automorphisms
Variable

ASJC Scopus subject areas

Mathematics(all)

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10.4153/CMB-2009-054-5

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title = "A note on locally nilpotent derivations and variables of k[X, Y, Z]",

abstract = "We strengthen certain results concerning actions of (C, +) on C3 and embeddings of C2 in C3, and show that these results are in fact valid over any field of characteristic zero.",

keywords = "Affine space, Group actions, Locally nilpotent derivations, Polynomial automorphisms, Variable",

author = "Daniel Daigle and Shulim Kaliman",

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AU - Daigle, Daniel

AU - Kaliman, Shulim

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N2 - We strengthen certain results concerning actions of (C, +) on C3 and embeddings of C2 in C3, and show that these results are in fact valid over any field of characteristic zero.

AB - We strengthen certain results concerning actions of (C, +) on C3 and embeddings of C2 in C3, and show that these results are in fact valid over any field of characteristic zero.

KW - Affine space

KW - Group actions

KW - Locally nilpotent derivations

KW - Polynomial automorphisms

KW - Variable

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JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

SN - 0008-4395

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ER -

A note on locally nilpotent derivations and variables of k[X, Y, Z]

Abstract

Keywords

ASJC Scopus subject areas

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