Determining local triviality of<i>G</i><sub>a</sub>actions

Deveney, James K.; Finston, David R.

doi:10.1080/00927879908826608

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1999

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“…A criterion for local triviality of a separated action, along with an algorithm to determine local triviality, is given in [3].…”

Section: Preliminariesmentioning

confidence: 99%

Local Triviality of Proper Ga Actions

Deveney

Finston

1999

Journal of Algebra

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Regular actions of the additive group of complex numbers on complex surfaces and on complex affine space are considered. A proper action on an affine surface admits a geometric quotient which is an affine curve. A proper action on a normal quasiaffine surface is equivariantly trivial. New criteria for local and "global" triviality of proper actions on a complex affine space of arbitrary dimension are presented.

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“…A criterion for local triviality of a separated action, along with an algorithm to determine local triviality, is given in [3].…”

Section: Preliminariesmentioning

confidence: 99%