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Fields of Ga Invariants are Ruled

Published online by Cambridge University Press:  20 November 2018

James K. Deveney  and
David R. Finston
James K. Deveney
Affiliation:
Department of Mathematical Sciences Virginia Commonwealth University 1015 W. Main Street Richmond, Virginia 23284 U.S.A.
David R. Finston
Affiliation:
Department of Mathematical Sciences New Mexico State University Las Cruces, New Mexico 88003 U.S.A.
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Abstract

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The quotient field of the ring of invariants of a rational Ga action on Cn 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 Cn is doubled to an action of Ga × Ga on C2n, then the doubled action is rationally triangulable.

Keywords

14L3020G2012F20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 1 , 01 March 1994 , pp. 37 - 41
Copyright
Copyright © Canadian Mathematical Society 1994

References

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