| 概要 | We study the transversality of holomorphic foliations
with spheres, from a viewpoint of dynamics of anti-holomorphic
maps in the projective space.
A point of non-degenerate contact of a leaf with a sphere
is a hyperbolic fixed point of the corresponding dynamics.
Around a degenerate contact point, the intersection of
branches of the variety of contacts is regarded as
a bifurcation diagram of a neutral fixed point of dynamics.
The Morse index for the distance function from the origin
is computed as the complex dimension of an unstable manifold. |