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

Stampfli, Immanuel. (2015) Automorphisms of ℂ^3 Commuting with a ℂ^+-Action. International Mathematics Research Notices (IMRN), 2015 (19). pp. 9832-9856.

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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).
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft)
UniBasel Contributors:van Santen, Immanuel
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Oxford University Press (OUP)
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:01 Oct 2018 16:38
Deposited On:01 Oct 2018 16:38

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