Automorphisms of ℂ^3 Commuting with a ℂ^+-Action

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Automorphisms of ℂ^3 Commuting with a ℂ^+-Action

JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)

ID	4239143
Author(s)	Stampfli, Immanuel
Author(s) at UniBasel	van Santen, Immanuel
Year	2015
Title	Automorphisms of ℂ^3 Commuting with a ℂ^+-Action
Journal	International Mathematics Research Notices (IMRN)
Volume	2015
Number	19
Pages / Article-Number	9832-9856
Abstract	Let rho be an algebraic action of the additive group C^+ on the three-dimensional affine space C^3. We describe the group Cent(rho) of polynomial automorphisms of C^3 that commute with rho. A particular emphasis lies in the description of the automorphisms in Cent(rho) coming from algebraic C^+-actions. As an application, we prove that the automorphisms in Cent(rho) that are the identity on the algebraic quotient of rho form a characteristic subgroup of Cent(rho).
Publisher	Oxford University Press (OUP)
ISSN/ISBN	1073-7928 ; 1687-0247
edoc-URL	https://edoc.unibas.ch/59703/
Full Text on edoc	No
Digital Object Identifier DOI	10.1093/imrn/rnu232
ISI-Number	000366499400027
Document type (ISI)	Article

06/05/2024

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