34 citations · 53 across the 11 of their papers we have counts for
Showing 2017 · math.AGShow all
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math.AG2017★ 7 cited
The canonical heights for Jordan blocks of small eigenvalues, preperiodic points, and the arithmetic degrees
Kaoru Sano
We introduce a new canonical height function for Jordan blocks of small eigenvalues for endomorphisms on smooth projective varieties over a number field. We prove that under an ass…
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…