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Projective integral models of Shimura varieties of Hodge type with compact factors

Projective integral models of Shimura varieties of Hodge type with compact factors

Let (G, X) be a Shimura pair of Hodge type such that G is the Mumford-Tate group of some elements of X. We assume that for each simple factor G0 of Gad there exists a simple factor of G0ℝ which is compact. Let N ≧ 3. We show that for …