Fields of Ga Invariants are Ruled
The quotient field of the ring of invariants of a rational Ga action on C n is shown to be ruled. As a consequence, all rational Ga actions on C4 are rationally triangulable. Moreover, if an arbitrary rational Ga action on C n is doubled to an action of Ga × Ga on C2n, then the doubled action is rat...
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| Veröffentlicht in: | Canadian mathematical bulletin 1994-03, Vol.37 (1), p.37-41 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng ; jpn |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The quotient field of the ring of invariants of a rational Ga
action on C
n
is shown to be ruled. As a consequence, all rational Ga
actions on C4 are rationally triangulable. Moreover, if an arbitrary rational Ga
action on C
n
is doubled to an action of Ga × Ga
on C2n, then the doubled action is rationally triangulable. |
|---|---|
| ISSN: | 0008-4395 1496-4287 |
| DOI: | 10.4153/CMB-1994-006-0 |