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.
Dedicated to Professor Tetsuji Shioda on the occasion of his seventy-fifth birthday.
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© 2016 Springer International Publishing Switzerland
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Oguiso, K. (2016). Simple Abelian Varieties and Primitive Automorphisms of Null Entropy of Surfaces. In: Faber, C., Farkas, G., van der Geer, G. (eds) K3 Surfaces and Their Moduli. Progress in Mathematics, vol 315. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29959-4_11
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DOI: https://doi.org/10.1007/978-3-319-29959-4_11
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-29958-7
Online ISBN: 978-3-319-29959-4
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