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Original Articles

Determining local triviality of Ga actions

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Pages 3031-3039 | Received 01 Jan 1998, Published online: 27 Jun 2007
 

Abstract

A proper regular action of the additive group of complex numbers on complex affine space is known to be locally trivial if the coordinate ring of affine space is a flat extension of the ring of G a invariants. Conditions under which a separated action is locally trivial are examined (Section 2) and an algorithm to determine the local triviality of any given action is presented (Section 3).

Supported in part of by the NSA.

Supported in part of by the NSA.

Notes

Supported in part of by the NSA.

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