Notes on direct images of pluricanonical bundles
Sho Ejiri

TL;DR
This paper extends Popa--Schnell's theorem on direct images of pluricanonical bundles to cases with non-globally generated ample line bundles and explores implications in positive characteristic settings.
Contribution
It provides a generalization of existing theorems to broader conditions and includes analysis in positive characteristic, expanding the applicability of the theory.
Findings
Generalized Popa--Schnell's theorem for non-globally generated line bundles
Extended results to positive characteristic cases
Enhanced understanding of direct images of pluricanonical bundles
Abstract
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. We also treat the case of positive characteristic.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology
