Proof of a dynamical Bogomolov conjecture for lines under polynomial actions

Dragos Ghioca; Thomas J. Tucker

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arXiv · 0808.3263

Proof of a dynamical Bogomolov conjecture for lines under polynomial actions

Dragos Ghioca·Thomas J. Tucker

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Abstract

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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Dragos Ghioca, Thomas J. Tucker. 2008-09-07. Proof of a dynamical Bogomolov conjecture for lines under polynomial actions. https://arxiv.org/abs/0808.3263

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