14 citations · 29 across the 16 of their papers we have counts for
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Varieties in positive characteristic with numerically flat log cotangent bundle
Sho Ejiri, Shou Yoshikawa
In this paper, we prove that a smooth projective globally -split variety with numerically flat tangent bundle is an étale quotient of an ordinary abelian variety. We also show i…
Quasi-F-splittings in birational geometry II
Tatsuro Kawakami, Teppei Takamatsu, Hiromu Tanaka +3
Over an algebraically closed field of characteristic , we prove that three-dimensional -factorial affine klt varieties are quasi--split. Furthermore, we show th…
Quasi-F-splittings in birational geometry
Tatsuro Kawakami, Teppei Takamatsu, Hiromu Tanaka +3
We develop the theory of quasi--splittings in the context of birational geometry. Amongst other things, we obtain results on liftability of sections and establish a criterion fo…
Fedder type criteria for quasi--splitting I
Tatsuro Kawakami, Teppei Takamatsu, Shou Yoshikawa
Yobuko recently introduced the notion of quasi--splitting and quasi--split heights, which generalize and quantify the notion of Frobenius-splitting, and proved that quasi-…
Minimal model program for semi-stable threefolds in mixed characteristic
Teppei Takamatsu, Shou Yoshikawa
In this paper, we study the minimal model theory for threefolds in mixed characteristic. As a generalization of a result of Kawamata, we show that the MMP holds for strictly semi-s…
Characterization of toric varieties via int-amplified endomorphisms
Shou Yoshikawa
In this paper, we obtain a characterization of toric varieties via int-amplified endomorphisms. We prove that if is an int-amplified endomorphism of a smooth com…
Structure of Fano fibrations of varieties admitting an int-amplified endomorphism
Shou Yoshikawa
In this paper, we study the structure of Fano fibrations of varieties admitting an int-amplified endomorphism. We prove that if a normal -factorial klt projective varie…
Global -splitting of surfaces admitting an int-amplified endomorphim
Shou Yoshikawa
In this paper, we study the global -splitting of varieties admitting an int-amplified endomoprhism. We prove that surfaces admitting an int-amplified endomorphism are of dense g…
Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism
Yohsuke Matsuzawa, Shou Yoshikawa
We prove Kawaguchi-Silverman conjecture for all surjective endomorphisms on every smooth rationally connected variety admitting an int-amplified endomorphism.
Int-amplified endomorphisms on normal projective surfaces
Yohsuke Matsuzawa, Shou Yoshikawa
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 (equivariant) quasi-étale…
Singularities of non--Gorenstein varieties admitting a polarized endomorphism
Shou Yoshikawa
In this paper, we discuss a generalization of log canonical singularities in the non--Gorenstein setting. We prove that if a normal complex projective variety has a non…