Simple abelian varieties and primitive automorphisms of null entropy of surfaces

Abstract

We characterize simple complex abelian varieties and simple abelian surfaces in terms of primitivity of translation automorphisms. Applying this together with a result due to Diller and Favre, we then classify all primitive birational automorphisms with trivial first dynamical degree of smooth projective surfaces over an algebraically closed field of any characteristic.

16pages, Proof of Theorem 1.4 is corrected and many typos are corrected

Cited by in corpus (1)

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