The minimum value of the first dynamical degrees of automorphisms of complex simple abelian varieties with fixing dimensions

Abstract

We consider the minimum value of the first dynamical degrees, which are larger than $1$, of automorphisms for prime dimensional complex simple abelian varieties. Also, we calculate the minimum value of the first dynamical degrees, which are larger than $1$, of automorphisms of complex simple abelian varieties with fixing the dimensions from $2$ to $10$.

43 pages, 3 figures