Definition 67.46.2. Let S be a scheme. Let f : X \to Y be a morphism of algebraic spaces over S. We say that f is finite locally free if f is affine and f_*\mathcal{O}_ X is a finite locally free \mathcal{O}_ Y-module. In this case we say f is has rank or degree d if the sheaf f_*\mathcal{O}_ X is finite locally free of rank d.
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