✦ LIBER ✦

Local Triviality of Proper Ga Actions

✍ Scribed by James K Deveney; David R Finston

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 117 KB
Volume: 221
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.8028

No coin nor oath required. For personal study only.

✦ Synopsis

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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