Journal of the Australian Mathematical Society - Series A Vol. 65 Part 1 (1998) Regular cyclic actions on complex projective space with codimension-two fixed points Robert D. Little Department of Mathematics University of Hawaii at Manoa Honolulu HI 96822 USA Abstract: If M2n is a cohomology $\Bbb CP^n$ and p is an odd prime, let Gp be the cyclic group of order p. A $\op{Type} II_0$ Gp action on M2n is an action with fixed point set a codimension-2 submanifold and an isolated point. A $\op{Type} II_0$ 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 $\op{Type} II_0$, then every $\op{Type} II_0$ Gp action on M2n is standard and so, if n is odd, $\Bbb CP^n$ admits a Gp action of $\op{Type} II_0$ if and only if the action is standard. PDF file size: 113K © Copyright 1998, Australian Mathematical Society