Search Results - "Matsuzawa, Yohsuke"

Kawaguchi–Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism by Matsuzawa, Yohsuke, Yoshikawa, Shou

“…We prove Kawaguchi–Silverman conjecture for all surjective endomorphisms on every smooth rationally connected variety admitting an int-amplified endomorphism…”
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Int-amplified Endomorphisms on Normal Projective Surfaces by Matsuzawa, Yohsuke, Yoshikawa, Shou

“…We investigate int-amplified endomorphisms on normal projective surfaces. We prove that the output of the equivariant MMP is either a Q-abelian surface, a…”
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Non-density of Points of Small Arithmetic Degrees by Matsuzawa, Yohsuke, Meng, Sheng, Shibata, Takahiro, Zhang, De-Qi

“…Given a surjective endomorphism f : X → X on a projective variety over a number field, one can define the arithmetic degree α f ( x ) of f at a point x in X …”
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“KAIZEN” method realizing implementation of deep-learning models for COVID-19 CT diagnosis in real world hospitals by Okada, Naoki, Umemura, Yutaka, Shi, Shoi, Inoue, Shusuke, Honda, Shun, Matsuzawa, Yohsuke, Hirano, Yuichiro, Kikuyama, Ayano, Yamakawa, Miho, Gyobu, Tomoko, Hosomi, Naohiro, Minami, Kensuke, Morita, Natsushiro, Watanabe, Atsushi, Yamasaki, Hiroyuki, Fukaguchi, Kiyomitsu, Maeyama, Hiroki, Ito, Kaori, Okamoto, Ken, Harano, Kouhei, Meguro, Naohito, Unita, Ryo, Koshiba, Shinichi, Endo, Takuro, Yamamoto, Tomonori, Yamashita, Tomoya, Shinba, Toshikazu, Fujimi, Satoshi

“…Numerous COVID-19 diagnostic imaging Artificial Intelligence (AI) studies exist. However, none of their models were of potential clinical use, primarily owing…”
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Growth of Local Height Functions Along Orbits of Self-Morphisms on Projective Varieties by Matsuzawa, Yohsuke

“…Abstract We consider the limit $$ \begin{align*} & \lim_{n\to \infty} \sum_{v\in S} \lambda_{Y,v}(f^{n}(x))/h_{H}(f^{n}(x)) \end{align*}$$where $f \colon X…”
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On the Hilbert schemes of finite algebras over an algebraically closed field by Matsuzawa, Yohsuke

“…In this paper, we study properties of the Hilbert schemes of ideals of finite algebras over an algebraically closed field. We prove a duality theorem for the…”
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On the Invariant Hilbert schemes and Luna’s étale slice theorem by Matsuzawa, Yohsuke

“…In this paper, we study local structures of invariant Hilbert schemes with Luna’s étale slice theorem. We prove that in some cases the invariant Hilbert…”
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The distribution relation and inverse function theorem in arithmetic geometry by Matsuzawa, Yohsuke, Silverman, Joseph H.

“…We study arithmetic distribution relations and the inverse function theorem in algebraic and arithmetic geometry, with an emphasis on versions that can be…”
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On Dynamical Cancellation by Bell, Jason P, Matsuzawa, Yohsuke, Satriano, Matthew

“…Abstract Let $X$ be a projective variety and let $f$ be a dominant endomorphism of $X$, both of which are defined over a number field $K$. We consider a…”
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Arithmetic degrees for dynamical systems over function fields of characteristic zero by Matsuzawa, Yohsuke, Sano, Kaoru, Shibata, Takahiro

“…We study the arithmetic degree of a dominant rational self-map on a smooth projective variety over a function field of characteristic zero. We interpret the…”
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Invariant Subvarieties With Small Dynamical Degree by Matsuzawa, Yohsuke, Meng, Sheng, Shibata, Takahiro, Zhang, De-Qi, Zhong, Guolei

“…Abstract Let $f:X\to X $ be a dominant self-morphism of an algebraic variety. Consider the set $\Sigma _{f^{\infty }}$ of $f$-periodic subvarieties of small…”
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Existence of arithmetic degrees for generic orbits and dynamical Lang-Siegel problem by Matsuzawa, Yohsuke

“…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…”
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Recent advances on Kawaguchi-Silverman conjecture by Matsuzawa, Yohsuke

“…This is a survey on Kawaguchi-Silverman conjecture…”
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Arithmetic degree and its application to Zariski dense orbit conjecture by Matsuzawa, Yohsuke, Xie, Junyi

“…We prove that for a dominant rational self-map $f$ on a quasi-projective variety defined over $\overline{\mathbb{Q}}$, there is a point whose $f$-orbit is…”
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Vojta's conjecture, heights associated with subschemes, and primitive prime divisors in arithmetic dynamics by Matsuzawa, Yohsuke

“…Assuming Vojta's conjecture, we give a sufficient condition for the limit \[ \lim_{n \to \infty} \frac{h_{Y}(f^{n}(x))}{h_{H}(f^{n}(x))} \] is equal to zero,…”
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On preimages question by 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…”
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Distribution of rational points on random Fano hypersurfaces by Matsuzawa, Yohsuke, Suzuki, Yuta

“…We prove an asymptotic formula for the average number of rational points on Fano hypersurfaces that are contained in a small ball centered at a given adelic…”
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Height functions associated with closed subschemes by Matsuzawa, Yohsuke

“…This is an expository note on height functions associated with closed subschemes. This manuscript contains nothing new…”
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Growth of local height functions along orbits of self-morphisms on projective varieties by Matsuzawa, Yohsuke

“…In this paper, we consider the limit $ \lim_{n \to \infty} \sum_{v\in S} \lambda_{Y,v}(f^{n}(x))/h_{H}(f^{n}(x)) $ where $f \colon X \longrightarrow X$ is a…”
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Arithmetic degrees and Zariski dense orbits of cohomologically hyperbolic maps by Matsuzawa, Yohsuke, Wang, Long

“…A dominant rational self-map on a projective variety is called $p$-cohomologically hyperbolic if the $p$-th dynamical degree is strictly larger than other…”
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