A Proper GaAction on C5Which is Not Locally Trivial

A Proper GaAction on C5Which is Not Locally Trivial

The quotient of a proper holomorphic Gaaction on Cnis known to carry the structure of a complex analytic manifold, and in the case of a rational algebraic action, the geometric quotient exists as an algebraic space. An example is given of a proper rational algebraic action for which the quotient is...

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Veröffentlicht in:Proceedings of the American Mathematical Society 1995-03, Vol.123 (3), p.651-655
Hauptverfasser: Deveney, James K., Finston, David R.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Coordinate systems
Mathematical rings
Mathematical triviality
Morphisms
Quotients
Rational choice theory
Rational functions
Zariski topologies
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Zusammenfassung:The quotient of a proper holomorphic Gaaction on Cnis known to carry the structure of a complex analytic manifold, and in the case of a rational algebraic action, the geometric quotient exists as an algebraic space. An example is given of a proper rational algebraic action for which the quotient is not a variety, and therefore the action is not locally trivial in the Zariski topology.
ISSN:0002-9939
1088-6826