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Hilbert irreducibility for integral points on punctured linear algebraic groups
Let $K$ be a number field, let $X$ be a smooth integral variety over $K$, and assume that there exists a finite set of finite places $S$ of $K$ such that the $S$-integral points on $X$ are dense. Then the combined conjectures of Campana and Corvaja-Zannier predict that, for every closed subscheme $Z
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