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## $\mathbb{C}^*$-actions on $\mathbb{C}^3$ are linearizable

### S. Kaliman, M. Koras, L. Makar-Limanov and P. Russell

**Abstract.**
We give the outline of the proof of
the linearization conjecture:
every algebraic $ %{\bf
\C^*$-action on $ %{\bf
\C^3$ is linear in
a suitable coordinate system.

*Copyright 1997 American Mathematical Society*

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#### Article Info

- ERA Amer. Math. Soc.
**03** (1997), pp. 63-71
- Publisher Identifier: S 1079-6762(97)00025-5
- 1991
*Mathematics Subject Classification*. Primary 14L30
- Received by the editors March 5, 1997
- Posted on July 31, 1997
- Communicated by Hyman Bass
- Comments (When Available)

**S. Kaliman**

Department of Mathematics & Computer Science, University of Miami,
Coral Gables, FL 33124

*E-mail address:* `kaliman@paris-gw.cs.miami.edu`

**M. Koras**

Institute of Mathematics, Warsaw University, Ul. Banacha 2,
Warsaw, Poland

*E-mail address:* `koras@mimuw.edu.pl`

**L. Makar-Limanov**

Department of Mathematics & Computer Science, Bar-Ilan University,
52900 Ramat-Gan, Israel, and
Department of Mathematics, Wayne State University, Detroit, MI 48202

*E-mail address:* `lml@bimacs.cs.biu.ac.il;
lml@math.wayne.edu`

**P. Russell**

Department of Mathematics & Statistics, McGill University,
Montreal, QC, Canada, and Centre
Interuniversitaire, en Calcul Mathématique, Algébrique (CICMA)

*E-mail address:* `russell@Math.McGill.CA`

The first author was partially supported by an NSA grant

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