概要 | Given a complex linear one-form on ${\mathbb C}^{n}$, $n\geq 3$, induced
by a nonsingular matrix, we give a necessary and sufficient condition of
transversality between the corresponding linear holomorphic distribution
and the unit sphere centered at the origin. We shall show that
tangency is robust for small perturbations of the distribution.
Finally, we will give a detailed study of an example of non-Morse type
non-linear holomorphic foliation given by the Pham polynomial. |