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$\Bbb C^*$-actions on $\Bbb C^3$ are linearizable

Authors: S. Kaliman, M. Koras, L. Makar-Limanov and P. Russell
Journal: Electron. Res. Announc. Amer. Math. Soc. 3 (1997), 63-71
MSC (1991): Primary 14L30
Published electronically: July 31, 1997
MathSciNet review: 1464577
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Abstract: We give the outline of the proof of the linearization conjecture: every algebraic $ {\Bbb C}^*$-action on $ {\Bbb C}^3$ is linear in a suitable coordinate system.

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Additional Information

S. Kaliman
Affiliation: Department of Mathematics & Computer Science, University of Miami, Coral Gables, FL 33124

M. Koras
Affiliation: Institute of Mathematics, Warsaw University, Ul. Banacha 2, Warsaw, Poland

L. Makar-Limanov
Affiliation: Department of Mathematics & Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel, and Department of Mathematics, Wayne State University, Detroit, MI 48202

P. Russell
Affiliation: Department of Mathematics & Statistics, McGill University, Montreal, QC, Canada, and Centre Interuniversitaire, en Calcul Mathématique, Algébrique (CICMA)
Email: russell@Math.McGill.CA

Received by editor(s): March 5, 1997
Published electronically: July 31, 1997
Additional Notes: The first author was partially supported by an NSA grant
Communicated by: Hyman Bass
Article copyright: © Copyright 1997 American Mathematical Society

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