  Hankel operators with anti-holomorphic symbols are studied for a large class
of weighted Fock spaces on $\cn$. The weights defining these Hilbert spaces are
radial and subject to a mild smoothness condition. In addition, it is assumed
that the weights decay at least as fast as the classical Gaussian weight. The
main result of the paper says that a Hankel operator on such a Fock space is
bounded if and only if the symbol belongs to a certain BMOA space, defined via
the Berezin transform. The latter space coincides with a corresponding Bloch
space which is defined by means of the Bergman metric. This characterization of
boundedness relies on certain precise estimates for the Bergman kernel and the
Bergman metric. Characterizations of compact Hankel operators and Schatten
class Hankel operators are also given. In the latter case, results on Carleson
measures and Toeplitz operators along with H\"{o}rmander's $L^2$ estimates for
the $\bar{\partial}$ operator are key ingredients in the proof.
