Abstract
When S is an algebraic scheme, and X! S and Y! S proper schemes over S, we define the notion of correspondences from X to Y over S. And when Y! S is a relative abelian scheme and X is a normal variety, we give a charac- terization for a correspondence from X to Y over S to be a graph of some morphism X! Y over S, which is a generalization of the result for classical correspondences in (4).
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