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Sparsity of Integral Points on Moduli Spaces of Varieties

Sparsity of Integral Points on Moduli Spaces of Varieties

Abstract Let $X$ be a quasi-projective variety over a number field, admitting (after passage to $\mathbb {C}$) a geometric variation of Hodge structure whose period mapping has zero-dimensional fibers. Then the integral points of $X$ are sparse: the number of such points of height $\leq B$ grows slower than any …