34 citations · 53 across the 11 of their papers we have counts for
11 papers
On preimages question
Yohsuke Matsuzawa, Kaoru Sano
For a surjective self-morphism on a projective variety defined over a number field, we study the preimages question, which asks if the set of rational points on the iterated preima…
Northcott numbers for generalized weighted Weil heights
Masao Okazaki, Kaoru Sano
We give a generalization of weighted Weil heights. These heights generalize both Weil's heights and Dobrowolski's height. We study Northcott numbers for our heights. Our results ge…
Northcott numbers for the weighted Weil heights
Masao Okazaki, Kaoru Sano
We answer the question of Vidaux and Videla about the distribution of the Northcott numbers for the Weil height. We solve the same problem for the weighted Weil heights. These heig…
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 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…