Sho Ejiri

collaborators

3 papers

math.AG2023

Splitting of algebraic fiber spaces with nef relative anti-canonical divisor and decomposition of $F$ -split varieties

Sho Ejiri

In this paper, we prove that an algebraic fiber space $f : X \to Y$ over a perfect field $k$ of characteristic $p > 0$ with nef relative anti-canonical divisor $- K_{X / Y}$ splits into th…

math.AG2023

The Demailly--Peternell--Schneider conjecture is true in positive characteristic

Sho Ejiri, Zsolt Patakfalvi

We prove the Demailly--Peternell--Schneider conjecture in positive characteristic: if $X$ is a smooth projective variety over an algebraically closed field of characteristic $p > 0$ …

math.AG2023

Varieties in positive characteristic with numerically flat log cotangent bundle

Sho Ejiri, Shou Yoshikawa

In this paper, we prove that a smooth projective globally $F$ -split variety with numerically flat tangent bundle is an étale quotient of an ordinary abelian variety. We also show i…

Splitting of algebraic fiber spaces with nef relative anti-canonical divisor and decomposition of F-split varieties

The Demailly--Peternell--Schneider conjecture is true in positive characteristic

Varieties in positive characteristic with numerically flat log cotangent bundle

Splitting of algebraic fiber spaces with nef relative anti-canonical divisor and decomposition of $F$ -split varieties