Proof of a dynamical Bogomolov conjecture for lines under polynomial actions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168437We 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.6 pages; more explanation of the cited results on Julia sets has been added and a few typos have been correctedNumber TheoryAlgebraic Geometry14G25; 37F10, 11C08Proof of a dynamical Bogomolov conjecture for lines under polynomial actionstext