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Topological Methods in Algebraic Transformation Groups pp 49–80Cite as

Fixed Point Free Algebraic Actions on Varieties Diffeomorphic to Rn

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Part of the book series: Progress in Mathematics ((PM,volume 80))

Abstract

Let F be the field R of real or the field C of complex numbers. This paper deals with the

Fixed Point Problem (see [PR1]). Does an algebraic action of a reductive group on affine space F n have a fixed point?

Partially supported by an NSF Grant.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Hawaii, Honolulu, HI, 96822, USA

    Karl Heinz Dovermann

  2. Department of Mathematics, Osaka City University, Osaka, Japan

    Mikiya Masuda

  3. Department of Mathematics, Rutgers University, New Brunswick, NJ, 08903, USA

    Ted Petrie

Authors
  1. Karl Heinz Dovermann
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  2. Mikiya Masuda
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  3. Ted Petrie
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Editor information

Editors and Affiliations

  1. Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051, Basel, Switzerland

    Hanspeter Kraft

  2. Department of Mathematics, Rutgers University, New Brunswick, New Jersey, 07102, USA

    Ted Petrie

  3. Department of Mathematics, Brandeis University, Waltham, Massachusetts, 02254-9110, USA

    Gerald W. Schwarz

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© 1989 Birkhäuser Boston, Inc.

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Dovermann, K.H., Masuda, M., Petrie, T. (1989). Fixed Point Free Algebraic Actions on Varieties Diffeomorphic to Rn . In: Kraft, H., Petrie, T., Schwarz, G.W. (eds) Topological Methods in Algebraic Transformation Groups. Progress in Mathematics, vol 80. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3702-0_5

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  • DOI: https://doi.org/10.1007/978-1-4612-3702-0_5

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8219-8

  • Online ISBN: 978-1-4612-3702-0

  • eBook Packages: Springer Book Archive

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