Zobrazeno 1 - 10
of 85
pro vyhledávání: '"SANO, KAORU"'
Morton and Vivaldi defined the polynomials whose roots are parabolic parameters for a one-parameter family of polynomial maps. We call these polynomials delta factors. They conjectured that delta factors are irreducible for the family $z\mapsto z^2+c
Externí odkaz:
http://arxiv.org/abs/2408.04850
We investigate the arithmetic properties of the multiplier polynomials for certain $1$-parameter families of polynomials. In particular, we prove integrality theorems of multiplier polynomials for $z^d+c$, $(z-c)z^d + c$ and $z^{d+1}+cz$. As a coroll
Externí odkaz:
http://arxiv.org/abs/2403.17315
Autor:
Matsuzawa, Yohsuke, Sano, Kaoru
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 preimages of an invariant closed subscheme eventually stabilize. We prove th
Externí odkaz:
http://arxiv.org/abs/2311.02906
Autor:
Okazaki, Masao, Sano, Kaoru
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 generalize the authors' former work on Vidaux and Videla's question abou
Externí odkaz:
http://arxiv.org/abs/2308.03981
Autor:
Okazaki, Masao, Sano, Kaoru
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 heights generalize both the absolute and relative Weil height. Our results
Externí odkaz:
http://arxiv.org/abs/2204.04446
Autor:
Sano, Kaoru
0048
甲第21532号
理博第4439号
新制||理||1638(附属図書館)
学位規則第4条第1項該当
Doctor of Science
Kyoto University
DFAM
甲第21532号
理博第4439号
新制||理||1638(附属図書館)
学位規則第4条第1項該当
Doctor of Science
Kyoto University
DFAM
Externí odkaz:
http://hdl.handle.net/2433/242570
Autor:
Sano, Kaoru, Shibata, Takahiro
We prove that any surjective self-morphism with $\delta_f > 1$ on a potentially dense smooth projective surface defined over a number field $K$ has densely many $L$-rational points for a finite extension $L/K$.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2101.08417
Autor:
Sano, Kaoru, Shibata, Takahiro
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 any point is less than or equal to the first dynamical degree. In this
Externí odkaz:
http://arxiv.org/abs/2007.15180
Autor:
Matsuzawa, Yohsuke, Sano, Kaoru
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 degrees of orbits and the (first) dynamical degrees of self-morphisms of
Externí odkaz:
http://arxiv.org/abs/1802.03173
Autor:
Sano, Kaoru
We provide an explicit formula on the growth rate of ample heights of rational points under iteration of endomorphisms on smooth projective varieties over number fields. As an application, we give a positive answer to a problem of Dynamical Mordell-L
Externí odkaz:
http://arxiv.org/abs/1801.02831