14 citations · 37 across the 16 of their papers we have counts for
16 papers
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…
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…
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 …
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…
Numerical Kodaira dimension of algebraic fiber spaces in positive characteristic
Sho Ejiri
In this paper, we prove a positive characteristic analog of Nakayama's inequality on the numerical Kodaira dimension of algebraic fiber spaces when the generic fibers have nef cano…
Notes on Frobenius stable direct images
Sho Ejiri
In this note, we prove the coherence of Frobenius stable direct images in a new case. We also show a generation theorem regarding to it. Furthermore, we prove a corresponding theor…