Free GaActions on C3

Free GaActions on C3

It has been conjectured that every free algebraic action of the additive group of complex numbers on complex affine three space is conjugate to a global translation. The main result lends support to this conjecture by showing that the morphism to the variety defined by the ring of invariants of the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the American Mathematical Society 2000-01, Vol.128 (1), p.31-38
Hauptverfasser: Deveney, James K., Finston, David R.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic conjugates
Automorphisms
Coordinate systems
Factorials
Logical proofs
Mathematical rings
Mathematics
Morphisms
Polynomials
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:It has been conjectured that every free algebraic action of the additive group of complex numbers on complex affine three space is conjugate to a global translation. The main result lends support to this conjecture by showing that the morphism to the variety defined by the ring of invariants of the associated action on the coordinate ring is smooth. As a consequence, the graph morphism is an open immersion, and simple proofs of certain cases of the conjecture are obtained.
ISSN:0002-9939
1088-6826