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math.AG2022
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…
math.AG2022
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…
math.AG2022
Notes on direct images of pluricanonical bundles
Sho Ejiri
In this note, we generalize slightly Popa--Schnell's theorem regarding to direct images of pluricanonical bundles to the case when the ample line bundle is not globally generated.…