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

Author(s): S. Kaliman; M. Koras; L. Makar-Limanov; P. Russell
Journal: Electron. Res. Announc. Amer. Math. Soc. 3 (1997), 63-71.
MSC (1991): Primary 14L30
Posted: July 31, 1997
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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
Email: kaliman@paris-gw.cs.miami.edu

M. Koras
Affiliation: Institute of Mathematics, Warsaw University, Ul. Banacha 2, Warsaw, Poland
Email: koras@mimuw.edu.pl

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
Email: lml@bimacs.cs.biu.ac.il; lml@math.wayne.edu

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

DOI: 10.1090/S1079-6762-97-00025-5
PII: S 1079-6762(97)00025-5
Received by editor(s): March 5, 1997
Posted: July 31, 1997
Additional Notes: The first author was partially supported by an NSA grant
Communicated by: Hyman Bass
Copyright of article: Copyright 1997, American Mathematical Society

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