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20152023
most citedNef anti-canonical divisors and rationally connected fibrations

14 citations · 37 across the 16 of their papers we have counts for

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4 papers · 1 filter

math.AG2023

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

Sho Ejiri

In this paper, we prove that an algebraic fiber space over a perfect field of characteristic with nef relative anti-canonical divisor splits into th…

math.AG2023

Positivity of extensions of vector bundles

Sho Ejiri, Osamu Fujino, Masataka Iwai

In this paper, we study when positivity conditions of vector bundles are preserved by extension. We prove that an extension of a big (resp. pseudo-effective) line bundle by an ampl…

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 is a smooth projective variety over an algebraically closed field of characteristic …

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 -split variety with numerically flat tangent bundle is an étale quotient of an ordinary abelian variety. We also show i…