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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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On reductive group actions and fixed points
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by Minhyong Kim PDF
Proc. Amer. Math. Soc. 126 (1998), 3397-3400 Request permission

Abstract:

Among analytic actions of reductive groups on projective varieties, we characterize the algebraic ones by the existence of fixed points for one-parameter subgroups. This applies to the problem of lifting the action of a compact Lie group on a projective manifold to a line bundle.
References
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Additional Information
  • Minhyong Kim
  • Affiliation: Department of Mathematics, University of Arizona, Tucson, Arizona 85721
  • Email: kim@math.arizona.edu
  • Received by editor(s): August 21, 1992
  • Received by editor(s) in revised form: February 5, 1997
  • Communicated by: Eric M. Friedlander
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 3397-3400
  • MSC (1991): Primary 22E10
  • DOI: https://doi.org/10.1090/S0002-9939-98-04346-9
  • MathSciNet review: 1451815