REGULAR CYCLIC ACTIONS ON COMPLEX PROJECTIVE-SPACE WITH CODIMENSION-2FIXED-POINTS

Authors
LITTLE RD
Citation
Rd. Little, REGULAR CYCLIC ACTIONS ON COMPLEX PROJECTIVE-SPACE WITH CODIMENSION-2FIXED-POINTS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 65, 1998, pp. 51-67
Citations number
12
Categorie Soggetti
Mathematics,"Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
65
Year of publication
1998
Part
1
Pages
51 - 67
Database
ISI
SICI code
0263-6115(1998)65:<51:RCAOCP>2.0.ZU;2-G
Abstract
If M-2n is a cohomology CPn and p is an odd prime, let (;, be the cycl ic group of order p. A Type Ilo G(p) action on M-2n is an action with fixed point set a codimension-2 submanifold and an isolated point. A T ype II0 G(p) action is standard if it is regular and the degree of the fixed codimension-2 submanifold is one. If n is odd and M-2n admits a standard G(p) action of Type II0, then every Type II0 G(p) action on M-2n is standard and so, if n is odd, CPn admits a G(p) action of Type II0 if and only if the action is standard.