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Functional Analysis and Its Applications

, Volume 34, Issue 1, pp 33–40 | Cite as

On fixed points of algebraic actions on ℂ n

  • P. I. Katsylo
  • V. L. Popov
Article
  • 44 Downloads

Abstract

It is shown that the action regarded for a rather long time by experts as a possible example disproving the conjecture on the existence of fixed points for reductive algebraic group actions on affine spaces is not an action on an affine variety, and therefore provides no example of this kind. Moreover, it is shown that the actions naturally related to the original one provide no examples of this kind as well.

Keywords

Vector Bundle Algebraic Group Irreducible Component Unique Fixed Point Affine Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • P. I. Katsylo
  • V. L. Popov

There are no affiliations available

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