Alon Levy

Berkovich's rigid analytic spaces are path-connected, Hausdorff, locally compact spaces that generalize non-archimedean fields in a way that allows conducting analysis. We use them to prove non-archimedean analogs of results in complex dynamics. It...

Suppose that a polarized self-morphism \phi of X dominates a polarized self-morphism \psi of Y. Szpiro and Tucker asked if, if \phi is isotrivial, then \psi also descends to an isotrivial morphism. We give an affirmative answer in a large set of...