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A CHARACTERIZATION OF CERTAIN SHIMURA CURVES IN THE MODULI STACK OF ABELIAN VARIETIES
Let f : X → Y be a semistable family of complex abelian varieties over a curve Y of genus g(Y ), and smooth over the complement of s points. If 𝓁 denotes the rank of the nonflat (1, 0) part F1,0 of the corresponding variation of Hodge structures, the …