  The loop equations for a chain of hermitian random matrices are computed
explicitely, including the 1/N^2 corrections. To leading order, the master loop
equation reduces to an algebraic equation, whose solution can be written in
terms of geometric properties of the underlying algebraic curve. In particular
we compute the free energy, the resolvents, the 2-loop functions and some mixed
one loop functions. We also initiate the calculation of the 1/N^2 expansion.
