KURODA, SHIGERU; KUTZSCHEBAUCH, Frank; PEŁKA, TOMASZ (2022). LINEARIZATION OF HOLOMORPHIC FAMILIES OF ALGEBRAIC AUTOMORPHISMS OF THE AFFINE PLANE. Transformation groups, 28(4), pp. 1607-1628. Springer 10.1007/s00031-021-09692-7
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Let G be a reductive group. We prove that a family of polynomial actions of G on ℂ^2, holomorphically parametrized by an open Riemann surface, is linearizable. As an application, we show that a particular class of reductive group actions on ℂ^3 is linearizable. The main step of our proof is to establish a certain restrictive Oka property for groups of equivariant algebraic automorphisms of ℂ^2.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Kutzschebauch, Werner Frank |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1083-4362 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Zarif Ibragimov |
Date Deposited: |
15 Mar 2023 08:03 |
Last Modified: |
03 Dec 2023 02:19 |
Publisher DOI: |
10.1007/s00031-021-09692-7 |
BORIS DOI: |
10.48350/180041 |
URI: |
https://boris.unibe.ch/id/eprint/180041 |
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