Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties

2018/02/09 by Matsuzawa, Yohsuke, Sano, Kaoru
#37P30 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1802.03173

Abstract

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.

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