10 citations · 28 across the 12 of their papers we have counts for
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math.AG2017
Ample canonical heights for endomorphisms on projective varieties
Takahiro Shibata
We define an "ample canonical height" for an endomorphism on a projective variety, which is essentially a generalization of the canonical heights for polarized endomorphisms introd…
math.AG2017★ 1 cited
Arithmetic degrees for dynamical systems over function fields of characteristic zero
Yohsuke Matsuzawa, Kaoru Sano, Takahiro Shibata
We study arithmetic degree of a dominant rational self-map on a smooth projective variety over a function field of characteristic zero. We see that the notion of arithmetic degree…
math.AG2017★ 5 cited
Arithmetic degrees and dynamical degrees of endomorphisms on surfaces
Yohsuke Matsuzawa, Kaoru Sano, Takahiro Shibata
For a dominant rational self-map on a smooth projective variety defined over a number field, Kawaguchi and Silverman conjectured that the (first) dynamical degree is equal to the a…