Geodesic
ℂ*-actions on ℂ³ are linearizable
Kaliman, S.1 ; Koras, M.2 ; Makar-Limanov, L.3 ; Russell, P.4
1 Department of Mathematics & Computer Science, University of Miami, Coral Gables, FL 33124
2 Institute of Mathematics, Warsaw University, Ul. Banacha 2, Warsaw, Poland
3 Department of Mathematics & Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel, and Department of Mathematics, Wayne State University, Detroit, MI 48202
4 Department of Mathematics & Statistics, McGill University, Montreal, QC, Canada, and Centre Interuniversitaire, en Calcul Mathématique, Algébrique (CICMA)
Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 63-71.

Voir la notice de l'article provenant de la source American Mathematical Society

We give the outline of the proof of the linearization conjecture: every algebraic $\mathbb {C}^*$-action on $\mathbb {C}^3$ is linear in a suitable coordinate system.
DOI : 10.1090/S1079-6762-97-00025-5

Kaliman, S. 1 ; Koras, M. 2 ; Makar-Limanov, L. 3 ; Russell, P. 4

1 Department of Mathematics & Computer Science, University of Miami, Coral Gables, FL 33124
2 Institute of Mathematics, Warsaw University, Ul. Banacha 2, Warsaw, Poland
3 Department of Mathematics & Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel, and Department of Mathematics, Wayne State University, Detroit, MI 48202
4 Department of Mathematics & Statistics, McGill University, Montreal, QC, Canada, and Centre Interuniversitaire, en Calcul Mathématique, Algébrique (CICMA) 
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     title = {\ensuremath{\mathbb{C}}*-actions on {\ensuremath{\mathbb{C}}{\textthreesuperior}} are linearizable},
     journal = {Electronic research announcements of the American Mathematical Society},
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     publisher = {mathdoc},
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Kaliman, S.; Koras, M.; Makar-Limanov, L.; Russell, P. ℂ*-actions on ℂ³ are linearizable. Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 63-71. doi : 10.1090/S1079-6762-97-00025-5. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-97-00025-5/

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