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arxiv: 0808.3263 · v2 · submitted 2008-08-24 · 🧮 math.NT · math.AG

Proof of a dynamical Bogomolov conjecture for lines under polynomial actions

classification 🧮 math.NT math.AG
keywords bogomolovconjecturedynamicallinespolynomialunderactionactions
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We prove a dynamical version of the Bogomolov conjecture in the special case of lines in affine space A^m under the action of a map (f_1,...,f_m) where each f_i is a polynomial in Q-bar[X] of the same degree.

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