5 citations · 6 across the 4 of their papers we have counts for
4 papers
Zariski density of points with maximal arithmetic degree for surfaces
Kaoru Sano, Takahiro Shibata
We prove that any surjective self-morphism with on a potentially dense smooth projective surface defined over a number field has densely many -rational points for…
Zariski density of points with maximal arithmetic degree
Kaoru Sano, Takahiro Shibata
Given a dominant rational self-map on a projective variety over a number field, we can define the arithmetic degree at a rational point. It is known that the arithmetic degree at a…
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…
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…