5 citations · 11 across the 12 of their papers we have counts for
23 papers
On the height boundedness of periodic and preperiodic points of dominant rational self-maps on projective varieties
Yohsuke Matsuzawa, Kaoru Sano
We give a counterexample to the following conjecture: the set of isolated periodic points of an automorphism of degree at least two on an affine space is a set of bounded height. A…
Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties
Yohsuke Matsuzawa
Consider a dominant rational self-map on a smooth projective variety defined over . We prove that \begin{align} \lim_{n \to \infty} \frac{h_{Y}(f^{n}…
Arithmetic degree and its application to Zariski dense orbit conjecture
Yohsuke Matsuzawa, Junyi Xie
We prove that for a dominant rational self-map on a quasi-projective variety defined over , there is a point whose -orbit is well-defined and its arit…
Existence of arithmetic degrees for generic orbits and dynamical Lang-Siegel problem
Yohsuke Matsuzawa
We prove the existence of the arithmetic degree for dominant rational self-maps at any point whose orbit is generic. As a corollary, we prove the same existence for étale morphisms…
Recent advances on Kawaguchi-Silverman conjecture
Yohsuke Matsuzawa
This is a survey on Kawaguchi-Silverman conjecture.
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…