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Regular cyclic actions on complex projective space with codimension-two fixed points

  • Robert D. Little (a1)

Abstract

If M2n is a cohomology CPn and P is an odd prime, let Gp be the cyclic group of order p. A Type I I0Gp action on M2n is an action with fixed point set a codimension-2 submanifold and an isolated point. A Type I I0 Gp action is standard if it is regular and the degree of the fixed codimension-2 submanifold is one. If n is odd and M2n admits a standard Gp action of Type I I0, then every Type I I0Gp action M2n is standard and so, if n is odd, CPn admits a Gp action of Type I I0 if and only if the action is standard.

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References

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