  Let E = K< y_1, ..., y_n > be the exterior algebra. The ``(cohomological)
distinguished pairs" of a graded E-module M describe the growth of a minimal
graded injective resolution of M. Roemer gave a duality theorem between the
distinguished pairs of M and those of its dual M^*. In this paper, we show that
under Bernstein-Gel'fand-Gel'fand correspondence, his theorem is translated
into a natural corollary of local duality for (complexes of) graded S=K[x_1,
>..., x_n]-modules. Using this idea, we also give a Z^n-graded version of
Roemer's theorem.
