Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
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🧮 math.NT
math.AG
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dynamicalmordell-langactionalonganalyticconjecturedynamicsendowed
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We prove a dynamical version of the Mordell-Lang conjecture for subvarieties of quasiprojective varieties X, endowed with the action of a morphism f:X --> X. We use an analytic method based on the technique of Skolem, Mahler, and Lech, along with results of Herman and Yoccoz from nonarchimedean dynamics.
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