Abstract

The quotient of a proper holomorphic G a {G_a} action on C n {{\mathbf {C}}^n} is 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.

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