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Hom-stacks and restriction of scalars

Hom-stacks and restriction of scalars

Fix an algebraic space S, and let X and Y be separated Artin stacks of finite presentation over S with finite diagonals (over S). We define a stack Hom̲S(X,Y) classifying morphisms between X and Y. Assume that X is proper and flat over S, and assume fppf locally on S …