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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A proper $\textbf {G}_ a$ action on $\textbf {C}^ 5$ which is not locally trivial
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by James K. Deveney and David R. Finston PDF
Proc. Amer. Math. Soc. 123 (1995), 651-655 Request permission

Abstract:

The quotient of a proper holomorphic ${G_a}$ action on ${{\mathbf {C}}^n}$ 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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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 651-655
  • MSC: Primary 14L30; Secondary 14D25
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1273487-0
  • MathSciNet review: 1273487