Endomorphisms of a variety of Ueno type and Kawaguchi-Silverman Conjecture (2401.04386v3)

Abstract: We first show that the moniod of separable surjective self morphisms of a variety of Ueno type coincides with the group of automorphisms. We also give an explicit description of the automorphism group. As applications, we confirm Kawaguchi Silverman Conjecture for automorphisms of a variety of Ueno type and some Calabi-Yau threefolds, defined over $\overline{\Q}$.