The dynamical Mordell-Lang problem for étale maps
نویسندگان
چکیده
We prove a dynamical version of the Mordell-Lang conjecture for étale endomorphisms of quasiprojective varieties. We use p-adic methods inspired by the work of Skolem, Mahler, and Lech, combined with methods from algebraic geometry. As special cases of our result we obtain a new proof of the classical Mordell-Lang conjecture for cyclic subgroups of a semiabelian variety, and we also answer positively a question of Keeler/Rogalski/Stafford for critically dense sequences of closed points of a Noetherian integral scheme.
منابع مشابه
Periodic points, linearizing maps, and the dynamical Mordell–Lang problem
Article history: Received 11 May 2008 Revised 20 September 2008 Available online 28 November 2008 Communicated by S.-W. Zhang MSC: primary 14K12 secondary 37F10
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