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An undecidable problem in dynamics
Given a variety $X$ with a self-map $ϕ$ and subvarieties $Y$ and $Z$ of $X$, we consider the set of $n$ for which $ϕ^n(Y)$ intersects $Z$ nontrivially. Extending a beautiful construction of Lee and Nam, we show this gives rise to an undecidable problem for a fixed ambient variety $X$ and morphism $ϕ
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