2017/07/25 by Jorge Mello, Mello, Jorge
Mathematics · #11G50 #37P35 #37P55 #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.DS #math.NT #msc:11G50 #msc:37P35 #msc:37P55
paper · pdf · doi:10.48550/arxiv.1707.07782
the results are better contained and explained in arXiv:1707.03943
arxiv created 2019/01/14 · arxiv updated 2019/01/16
We give a proof for a fact that for any Weil height hX with respect to an ample divisor on a projective variety X, any dynamical system F of rational self-maps on X, and any ε>0, there is a positive constant C=C(X, hX, f, ε) such that ∑f ∈ Fn h+X(f(P)) ≤ C. kn.(δF + ε)n . h+X(P) for all points P whose F-orbit is well defined, with δF being a dynamical degree associated with a system of several maps, defined by the author in the previous paper mentioned above.