  Let $X$ be a complex surface and $Y$ be an elliptic curve embedded in $X$.
Assume that there exists a non-singular holomorphic foliation $\mathcal{F}$
with $Y$ as a compact leaf, defined on a neighborhood of $Y$ in $X$. We
investigate the relation between Ueda's classification of the complex analytic
structure of a neighborhood of $Y$ and complex dynamics of the holonomy of
$\mathcal{F}$ along $Y$.
