34 citations · 53 across the 11 of their papers we have counts for
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math.AG2018★ 1 cited
Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties
Yohsuke Matsuzawa, Kaoru Sano
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 deg…
math.AG2018★ 5 cited
Growth rate of ample heights and the dynamical Mordell-Lang type conjecture
Kaoru Sano
We provide an explicit formula on the growth rate of ample heights of rational points under iteration of endomorphisms on smooth projective varieties over number fields. As an appl…