Regular Cyclic Actions on Complex Projective Space with Codimension-two Fixed Points
نویسندگان
چکیده
If M2n is a cohomology CPn and p is an odd prime, let G p be the cyclic group of order p. A Type I I0 G p action on M2n is an action with fixed point set a codimension-2 submanifold and an isolated point. A Type I I0 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 M2n admits a standard G p action of Type I I0, then every Type I I0 G p action on M2n is standard and so, if n is odd, CPn admits a G p action of Type I I0 if and only if the action is standard. 1991 Mathematics subject classification (Amer. Math. Soc.): primary 57S17, 57S25.
منابع مشابه
Nonexpansive mappings on complex C*-algebras and their fixed points
A normed space $mathfrak{X}$ is said to have the fixed point property, if for each nonexpansive mapping $T : E longrightarrow E $ on a nonempty bounded closed convex subset $ E $ of $ mathfrak{X} $ has a fixed point. In this paper, we first show that if $ X $ is a locally compact Hausdorff space then the following are equivalent: (i) $X$ is infinite set, (ii) $C_0(X)$ is infinite dimensional, (...
متن کاملGlobal structure of webs in codimension one
In this paper, we describe the global structure of webs in codimension one, and study in particular their singularities (the caustic). We define and study different concepts which have no interest locally near regular points, such as the type, the reducibility, the quasi-smoothness, the CIproperty (complete intersection), the dicriticity.... As an example of application, we explain how the alge...
متن کاملSemifree Symplectic Circle Actions on 4-orbifolds
A theorem of Tolman and Weitsman states that all symplectic semifree circle actions with isolated fixed points on compact symplectic manifolds must be Hamiltonian and have the same equivariant cohomology and Chern classes of (CP 1)n equipped with the standard diagonal circle action. In this paper, we show that the situation is much different when we consider compact symplectic orbifolds. Focusi...
متن کاملEffective actions with fixed points.
The specific form of the constant term in the asymptotic expansion of the heat-kernel on an axially-symmetric space with a codimension two fixed-point set of conical singularities is used to determine the conformal change of the effective action in four dimensions. Another
متن کاملWronskians, Cyclic Group Actions, and Ribbon Tableaux
The Wronski map is a finite, PGL2(C)-equivariant morphism from the Grassmannian Gr(d, n) to a projective space (the projectivization of a vector space of polynomials). We consider the following problem. If Cr ⊂ PGL2(C) is a cyclic subgroup of order r, how may Cr-fixed points are in the fibre of the Wronski map over a Cr-fixed point in the base? In this paper, we compute a general answer in term...
متن کامل