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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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).
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft) |
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| UniBasel Contributors: | van Santen, Immanuel |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Oxford University Press (OUP) |
| ISSN: | 1073-7928 |
| e-ISSN: | 1687-0247 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: |
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| Last Modified: | 01 Oct 2018 16:38 |
| Deposited On: | 01 Oct 2018 16:38 |
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