Compact embedded minimal surfaces of positive genus without area bounds

Let M-3 be a three-manifold (possibly with boundary). We will show that, for any positive integer gamma, there exists an open nonempty set of metrics on M (in the C-2-topology on the space of metrics on M) for each of which there are compact embedded stable minimal surfaces of genus gamma with arbitrarily large area. This extends a result of Colding and Minicozzi, who proved the case gamma=1.