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semi-abelian vareities

Ergodic Theory and Dynamical Systems (1)

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Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties
Part of
- Arithmetic and non-Archimedean dynamical systems
YOHSUKE MATSUZAWA, KAORU SANO
Journal:

Ergodic Theory and Dynamical Systems / Volume 40 / Issue 6 / June 2020

Published online by Cambridge University Press:

17 October 2018, pp. 1655-1672

Print publication:

June 2020
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We prove a conjecture by Kawaguchi–Silverman on arithmetic and dynamical degrees, for self-morphisms of semi-abelian varieties. Moreover, we determine the set of the arithmetic degrees of orbits and the (first) dynamical degrees of self-morphisms of semi-abelian varieties.