Arakelov-Green's functions for dynamical systems on projective varieties
Arakelov-Green's functions for dynamical systems on projective varieties
We introduce functions associated to polarized dynamical systems that generalize averages of the dynamical Arakelov-Green's functions for rational functions due to Baker and Rumely. For a polarized dynamical system $X\to X$ over a product formula field, we prove an Elkies-style lower bound for these functions evaluated on the adelic points …